# British Flag Theorem

This theorem is famous for Math Olympians but never heard inside our classroom. I’m happy to share this to my readers for you to know this very interesting theorem.

Given a rectangle ABCD, we choose point P inside the rectangle and the distance from point A to P is a, B to P is b, C to P is c and D to P is d.

Then,

$a^2+c^2=b^2+d^2$

Sample Problem:

1. Let ABCD be a rectangle and let P be a point inside the rectangle. If PA = 8, PB=4 and PD = 7, then what is the length of PC?

Solution:

PA=a, PC=c, PB=b, PD=d

Using the formula,

$a^2+c^2=b^2+d^2$

$8^2+c^2=4^2+7^2$

$c^2=4^2+7^2-8^2$

$c^2=16+49-64$

$c^2=1$

$c=1$

Therefore, PC=1.

2. ABCD is a rectangle and P is inside the rectangle. AP=x-1, BP=x+3, PC=x+2, PD=x-4. How long is BP?

Solution:

PA=a, PC=c, PB=b, PD=d

Using the formula,

$a^2+c^2=b^2+d^2$

(x-1)2+( x+2)2=( x+3)2+( x-4)2

Simplify and solve for x we have,

x=5

BP=x+2

=5+2

BP=7

### Dan

Blogger and a Math enthusiast. Has no interest in Mathematics until MMC came. Aside from doing math, he also loves to travel and watch movies.

### 206 Responses

1. Roma says:

Good day! This is kind of off topic but I need some advice from an established blog. Is it very hard to set up your own blog? I’m not very techincal but I can figure things out pretty fast. I’m thinking about making my own but I’m not sure where to start. Do you have any ideas or suggestions? With thanks

2. Aw, this was a really good post. In notion I’d like to put in writing like this furthermore – taking time and actual effort to create a really excellent article… but what can I say… I procrastinate alot and by no means appear to obtain something accomplished.

3. pron best says:

SS0ZBr It as arduous to find knowledgeable individuals on this matter, however you sound like you already know what you are speaking about! Thanks

4. lucy ann says:

5. Wow, great blog article.Much thanks again. Awesome.

6. Fantastic blog post.Really looking forward to read more. Cool.

7. Lastly, a problem that I am passionate about. I ave looked for info of this caliber for the final a number of hrs. Your website is tremendously appreciated.

8. Some genuinely quality articles on this internet site, bookmarked.

9. share. I know this is off subject but I just wanted to ask.

10. So pleased to possess discovered this submit.. I appreciate you posting your perspective.. Recognize the value of the entry you available.. So pleased to get identified this post..

11. bbw teen says:

just like to say cheers for a remarkable post and a all round interesting blog (I also love the theme/design), I don at have time to look over it all at the

13. Historie says:

woh I love your content , saved to favorites !.

14. Would you offer guest writers to write content in your case?

15. 123movies to says:

This blog was how do I say it? Relevant!! Finally I ave found something that helped me. Thanks a lot!

16. This very blog is without a doubt cool and also informative. I have discovered many handy things out of this amazing blog. I ad love to visit it over and over again. Thanks!

17. Very neat blog article.Really thank you! Keep writing.

18. this this web site conations in fact pleasant funny data

19. This is a topic that as near to my heart Thank you! Exactly where are your contact details though?

20. I really enjoy the article post.Thanks Again. Will read on…

21. Hey, thanks for the post.Thanks Again. Cool.

22. careers says:

Thanks again for the blog.Thanks Again.

23. Photography says:

I think this is a real great post.Really looking forward to read more. Much obliged.

24. I truly appreciate this post. I have been looking everywhere for this! Thank goodness I found it on Bing. You have made my day! Thank you again

25. Maintenance says:

This is one awesome article.Really thank you! Really Cool.

26. you continue this in future. A lot of people will be benefited from your writing.

27. Just to let you know your web page looks a little bit unusual in Safari on my notebook with Linux.

28. law says:

Regards for helping out, fantastic information. It does not do to dwell on dreams and forget to live. by J. K. Rowling.

29. I think this is a real great article. Fantastic.

30. Wow, amazing blog layout! How long have you ever been running a blog for? you made blogging glance easy. The full look of your site is fantastic, let alone the content material!

31. It as remarkable to go to see this website and reading the views of all friends

32. It as not acceptable just to go up with a good point these days. You need to put serious work in to plan the idea properly as well as making certain all of the plan is understood.

33. Appreciate you sharing, great article post. Will read on…

35. Thank you, I ave just been searching for info about this topic for ages and yours is the greatest I ave discovered so far. But, what about the conclusion? Are you sure about the source?

36. Looking forward to reading more. Great post.Thanks Again.

37. Millicent says:

Nice post. I was checking constantly this blog and I

38. Kristy says:

Say, you got a nice blog.Thanks Again. Great.

39. Resume says:

40. Chara says:

Its hard to find good help I am forever saying that its difficult to procure good help, but here is

41. Very good blog.Much thanks again. Keep writing.

42. Im thankful for the article.Much thanks again.

43. Thanks a lot for the article post.Thanks Again. Fantastic.

44. #lasvegas says:

45. The Birch of the Shadow I think there may perhaps be a few duplicates, but an exceedingly helpful listing! I have tweeted this. Numerous thanks for sharing!

46. pretty useful stuff, overall I believe this is worthy of a bookmark, thanks

47. Wow! This could be one particular of the most useful blogs We ave ever arrive across on this subject. Basically Excellent. I am also an expert in this topic so I can understand your effort.

48. this website says:

Im thankful for the blog post.Much thanks again. Fantastic.

49. Major thankies for the blog.Thanks Again. Really Great.

50. Thanks for sharing, this is a fantastic blog article.Much thanks again. Great.

Really informative article.Much thanks again. Really Cool.

52. I would like to start making money blogging. Can someone lead me in the right direction? There are so many free sites, kits, etc? Don at know where to start?.

53. wow, awesome blog article.Really thank you! Keep writing.

54. I really liked your blog article.Really looking forward to read more. Really Cool.

55. Awesome article post.Really looking forward to read more. Really Cool.

56. Thank you ever so for you article post.Thanks Again. Really Great.

57. Tirage gratuit des tarots de belline horoscope du jour gratuit

58. Often have Great blog right here! after reading, i decide to buy a sleeping bag ASAP

59. Very interesting information!Perfect just what I was searching for! Being rich is having money being wealthy is having time. by Margaret Bonnano.

60. flexvit says:

I went over this website and I believe you have a lot of wonderful info , saved to my bookmarks (:.

61. Wow! Thank you! I constantly wanted to write on my website something like that. Can I implement a portion of your post to my blog?

62. vibram five fingers shoes WALSH | ENDORA

63. Thanks for sharing, this is a fantastic post. Great.

64. golf wang says:

If you have any recommendations, please let me know. Thanks!

65. spiderman Slots view of Three Gorges | Wonder Travel Blog

66. This site was how do I say it? Relevant!! Finally I have found something which helped me. Thank you!

67. Somebody necessarily lend a hand to make critically posts I would state.

68. It?s an important Hello! Wonderful post! Please when I could see a follow up!

69. Thanks again for the blog article.Really thank you! Cool.

70. 783896 628084articulo agregado a favoritos, lo imprimir cuando llegue a la oficina. 584148

71. Wilbgraimi says:

Cialis Omline [url=http://cial1.xyz/cialis-usa.php]Cialis Usa[/url] Purchase Generic Propecia Propecia While On Ipledge [url=http://cial1.xyz/cheap-cialis-no-rx.php]Cheap Cialis No Rx[/url] Sildenafil A Buon Mercato 150 Mg Effetti Collaterali Del Cialis [url=http://viag1.xyz/viagra-online-online.php]Viagra Online Online[/url] Amoxicillin A Clavulanate Potassium Tablets Where Can I Buy Online Fluoxetine Without Rx [url=http://kama1.xyz/order-kamagra.php]Order Kamagra[/url] Cialis In Internet Buy Plavix Online Canada [url=http://viag1.xyz/viagra-for-sale.php]Viagra For Sale[/url] Best Prices For Viagra 100mg Achat Viagra Dapoxetine En Ligne 259 [url=http://strattera.ccrpdc.com/purchase-strattera.php]Purchase Strattera[/url] Zithromax Affect Birth Control Viagra Ohne Rezept Im Ausland Kaufen [url=http://cial1.xyz/cialis-cheap.php]Cialis Cheap[/url] Cytotec 200 Mg 20 Mg Lisinopril Sale No Perscription [url=http://cial5mg.xyz/cialis-online-pharmacy.php]Cialis Online Pharmacy[/url] Generic Viagra Online Fast Shipping 112 Viagra Mit 17 [url=http://cial5mg.xyz/cialis-free-offer.php]Cialis Free Offer[/url] order generic accutane Canadian Pharmacy Secure [url=http://cial1.xyz/cialis.php]Cialis[/url] Priligy Natural Kamagra En Mujeres [url=http://cial5mg.xyz/cialis-on-line.php]Cialis On Line[/url] Tetracycline Vendors Viagra En Ligne En France [url=http://viag1.xyz/real-viagra-online.php]Real Viagra Online[/url] Clomid 200g Zithromax Taken With Food [url=http://kama1.xyz/order-generic-kamagra.php]Order Generic Kamagra[/url] Viagra Naturale Femminile Viagra Ordonnance En Pharmacie [url=http://doxycycline.ccrpdc.com]Buy Doxycycline[/url] Cialis Price Europe 345 Sildenafil 50 Mg [url=http://cial5mg.xyz/cialis-free-offer.php]Cialis Free Offer[/url] Prix Du Viagra Pfizer

72. Very good post. I will be facing many of these issues as well..

73. drake beats says:

Thanks for posting this, I ave been looking for this info for the whilst! Your blog site is wonderful.

74. I loved your blog article.Much thanks again. Fantastic.

75. e unblocked says:

Thank you for sharing this good piece. Very interesting ideas! (as always, btw)

76. Very good article post.Much thanks again. Really Cool.

77. Major thankies for the blog post.Really looking forward to read more. Really Great.

78. Thanks for your personal marvelous posting! I seriously enjoyed reading it,

79. E-commerce says:

I am so grateful for your article post.Really thank you! Really Cool.

80. Webdesign says:

Really enjoyed this post.Really looking forward to read more.

81. Say, you got a nice blog article. Want more.

82. Major thankies for the article.Much thanks again. Want more.

83. mine. Please shoot me an email if interested. Thank you!

84. Fantastic article post. Cool.

85. Major thankies for the blog post.Really thank you! Really Great.

86. raised wart says:

Im grateful for the blog post. Really Cool.

87. Thanks so much for the blog article.Thanks Again. Much obliged.

89. Im grateful for the post.Really looking forward to read more. Cool.

90. I truly appreciate individuals like you! Take care!!

91. This is one awesome post.Really looking forward to read more. Great.

92. Very good information. Lucky me I discovered your blog by accident (stumbleupon). I ave bookmarked it for later!|

93. It as remarkable to go to see this website and reading the views of all friends

94. Diffuser says:

You know that children are growing up when they start asking questions that have answers.

95. Way cool! Some extremely valid points! I appreciate you penning this post and the rest of the website is extremely good.

96. Thanks so much for the blog.Much thanks again. Really Cool.

97. I truly appreciate this post. I ave been looking everywhere for this! Thank God I found it on Bing. You ave made my day! Thanks again..

99. Wow, awesome blog layout! How long have you been blogging for? you made blogging look easy. The overall look of your website is

100. Thanks for sharing, this is a fantastic blog article.Really thank you! Cool.

101. You have observed very interesting details ! ps decent site.

102. Your style is very unique in comparison to other people I have read stuff from. I appreciate you for posting when you ave got the opportunity, Guess I all just book mark this web site.

103. Social Media says:

Thank you for your blog.Thanks Again. Great.

104. I value the blog post.Really looking forward to read more. Awesome.

105. venue finder says:

Very good blog post. Great.

106. Say, you got a nice article.Much thanks again. Keep writing.

107. I truly appreciate this blog post.Really thank you! Really Cool.

108. Im obliged for the blog article.Much thanks again. Will read on

109. Great blog.Much thanks again. Will read on…

110. It’аs really a cool and useful piece of information. I am happy that you shared this useful info with us. Please keep us up to date like this. Thanks for sharing.

111. DanAnton says:

Thank you for your blog post.Really looking forward to read more. Want more.

112. Thanks so much for the blog.Much thanks again. Really Cool.

113. table linens says:

I really liked your blog post. Much obliged.

114. go to says:

This is one awesome post.Really looking forward to read more. Will read on

115. Im obliged for the blog post.Thanks Again.

116. email list says:

Rising prices will drive housing sales for years to come

118. Thanks-a-mundo for the blog.Really thank you! Awesome.

119. rusya vize says:

wow, awesome article post.Much thanks again. Will read on

120. The authentic cheap jerseys china authentic

121. travel mug says:

What as Happening i am new to this, I stumbled upon this I ave found It absolutely helpful and it has aided me out loads. I hope to contribute & aid other users like its helped me. Good job.

122. brewing beer says:

What as Happening i am new to this, I stumbled upon this I have found It absolutely useful and it has helped me out loads. I hope to contribute & help other users like its helped me. Good job.

123. sattaking says:

Wow, wonderful blog layout! How long have you been blogging for? you made blogging look easy. The overall look of your web site is wonderful, let alone the content!

124. This is precisely what I used to be searching for, thanks

125. wow, awesome blog article.Really looking forward to read more. Really Great.

126. Please let me know if you are looking for a article author for

127. Spot on with this write-up, I really think this website wants way more consideration. I all most likely be once more to learn rather more, thanks for that info.

128. FREE BOXES says:

Major thanks for the article post.Really thank you! Great.

129. Thanks so much for the blog. Much obliged.

130. You ave made some decent points there. I looked on the web to find out more about the issue and found most people will go along with your views on this website.

131. Terrific work! This is the type of information that are supposed to be shared across the web. Disgrace on Google for not positioning this post higher! Come on over and visit my web site. Thanks =)

132. URL says:

Say, you got a nice post.Really looking forward to read more. Awesome.

133. Your style is very unique compared to other folks I ave read stuff from. Thank you for posting when you have the opportunity, Guess I will just bookmark this web site.

134. This is one awesome article post. Really Great.

135. Thank you for your blog.Thanks Again. Really Cool.

136. Wilbgraimi says:

137. You can certainly see your enthusiasm within the work you write.

138. Very good blog post. I certainly love this website. Continue the good work!

139. Shakira and Taylor Appreciating the time

140. of course, study is paying off. Is not it good whenever you uncover an excellent article? My personal internet searching seem full.. thank you. Great ideas you have got here..

141. Outstanding quest there. What happened after? Thanks!

142. this website says:

It as not that I want to copy your internet site, but I really like the layout. Could you tell me which design are you using? Or was it especially designed?

143. Jonathon says:

Very good post. I am experiencing some of these issues as well..

144. My brother rec?mmended I might like thаАабТТs websаАабТТte.

146. Thank you for your great article! It continues to be very useful. I wish that you all carry on sharing your knowledge with us.

147. Thank you for your post.Really looking forward to read more. Fantastic.

148. Very interesting points you have mentioned , appreciate it for putting up. Women have been trained to speak softly and carry a lipstick. Those days are over. by Bella Abzug.

149. recipes says:

Usually I don at read article on blogs, but I wish to say that this write-up very forced me to take a look at and do so! Your writing taste has been amazed me. Thanks, very nice article.

150. Ehtel says:

Usually I don at learn post on blogs, however I wish to say that this write-up very compelled me to check out and do it! Your writing taste has been surprised me. Thanks, quite nice article.

151. Simply a smiling visitor here to share the love (:, btw great design and style. Treat the other man as faith gently it is all he has to believe with. by Athenus.

152. Thanks so much for the blog. Much obliged.

153. I read this piece of writing fully on the topic of the resemblance of most recent and earlier technologies,
it’s remarkable article.

154. Emilee says:

Very good post. I absolutely love this site. Stick with it!

155. Web visitor says:

You can definitely see your skills in the work you write. The sector hopes for even more passionate writers like you who aren at afraid to say how they believe. All the time go after your heart.

156. Wow that was strange. I just wrote an really long comment but after
I clicked submit my comment didn’t show up. Grrrr…

well I’m not writing all that over again. Anyhow, just wanted to say fantastic
blog!

157. beds galore says:

159. we should highly recommand it for keeping track of our expenses and we will really satisfied with it.

160. Thanks for the blog article.Much thanks again. Really Cool.

161. You know so much its almost tough to argue with you (not that I personally

162. We are a collection of volunteers and starting a new project in a community in

163. Thanks for sharing, this is a fantastic article.Thanks Again. Much obliged.

164. Really enjoyed this blog article.Thanks Again. Keep writing.

165. Can I simply just say what a relief to find somebody that actually understands what they’re discussing over the internet.
You certainly know how to bring a problem to light and
make it important. More and more people should read this and understand this
side of the story. I can’t believe you aren’t more popular given that you surely have the

167. Hey there! Would you mind if I share your blog with my twitter group?
There’s a lot of people that I think would really enjoy your content.
Please let me know. Many thanks

168. Youre so cool! I dont suppose Ive read anything in this way before. So good to uncover somebody with some original tips on this topic. realy appreciate starting this up. this excellent website is something that is necessary more than the internet, a person if we do originality. valuable function for bringing something new towards the web!

169. It’s actually a great and helpful piece of information. I’m glad that you just shared this helpful information with us.
Please keep us informed like this. Thanks for sharing.

Greetings! Quick question that’s entirely off topic.
Do you know how to make your site mobile friendly? My website looks weird
when viewing from my apple iphone. I’m trying to find a theme or plugin that might be able to correct this problem.

If you have any recommendations, please share. Many thanks!

171. I really liked your blog.Much thanks again. Really Cool.

172. Very nice post. I absolutely appreciate this website. Keep it up!

173. It cаА аЂаn bаА аЂа seeen and ju?ged only by watching the

174. Wilbgraimi says:

175. My Homepage says:

I truly appreciate this blog post.Much thanks again. Fantastic.

176. Thanks for some other great article. The place else may just anyone get that kind of info in such a perfect means of writing? I have a presentation next week, and I am on the search for such info.

177. Its hard to find good help I am forever proclaiming that its hard to find quality help, but here is

178. I think this is one of the most vital information for me.
And i’m glad reading your article. But want to remark on few general things, The site style is great,
the articles is really great : D. Good job, cheers

179. This very blog is definitely entertaining and also informative. I have chosen helluva useful tips out of it. I ad love to go back again and again. Thanks!

180. Youre so cool! I dont suppose Ive read anything in this way before. So good to uncover somebody with some original tips on this topic. realy appreciate starting this up. this excellent website is something that is necessary more than the internet, a person if we do originality. valuable function for bringing something new towards the web!

181. This excellent website certainly has all of the information and facts I wanted about this subject and didn at know who to ask.

182. Im thankful for the article post.Really looking forward to read more. Awesome.

183. Gutscheine says:

I truly appreciate this blog article.Thanks Again. Really Great.

184. Tangela says:

I love it when people get together and share views. Great blog, continue the good
work!

186. I value the blog article.Really thank you! Keep writing.

187. I think this is a real great article post.Really looking forward to read more. Want more.

188. Therapists says:

Terrific work! This is the type of information that should be shared around the internet. Shame on Google for not positioning this post higher! Come on over and visit my website. Thanks =)

189. My family members always say that I am killing my time here at web, but I know
I am getting know-how all the time by reading such
pleasant articles.

190. Thank you ever so for you blog.Really thank you! Great.

191. Excellent publish from specialist also it will probably be a fantastic know how to me and thanks really much for posting this helpful data with us all.

192. Im obliged for the blog.Really thank you! Keep writing.

193. gossip lanka says:

This is a topic that as close to my heart Cheers! Where are your contact details though?

194. IT Jobs says:

that, this is excellent blog. An excellent read.

195. Thanks-a-mundo for the blog post.Really thank you!

196. music says:

yeah bookmaking this wasn at a bad determination great post!.

Utterly pent written content, Really enjoyed looking at.

198. Wow! This can be one particular of the most helpful blogs We ave ever arrive across on this subject. Basically Excellent. I am also a specialist in this topic so I can understand your hard work.

199. I really liked your blog post.Really looking forward to read more. Awesome.

200. This site was how do I say it? Relevant!! Finally I ave found something that helped me. Thanks a lot!

201. Thank you for another informative website. The place else could I get that type of info written in such a

202. DavViaclep says:

Buy Cheap Cialis Pills [url=http://cialcost.com/prices-cialis.php]Prices Cialis[/url] Pastillas Cialis Y Alcohol Tomar Cialis 20 Mg [url=http://cheap-viagra-pill.via100mg.com]Cheap Viagra Pill[/url] Viagra Dove Comprarlo Generic Viagra 50 Mg Cheap For Sale [url=http://levitra-low-cost.buylevi.com]Levitra Low Cost[/url] Amoxicillin Weight Dog Levitra Wirkdauer [url=http://viacheap.com]viagra[/url] Spanish Pharmacies Online Amoxicilina Medication Quick Shipping [url=http://levicost.com]levitra for sale[/url] El Viagra Y La Diabetes Buy Fluconazole No Prescription [url=http://sildenafil-20mg.viasample.com]Sildenafil 20mg[/url] Citalopram Without Perscription Tipos De Viagras [url=http://how-much-propecia.propecpills.com]How Much Propecia[/url] Cialis 20mg Suisse Free Shipping Acticin Minnesota [url=http://newisotretinoin.com/accutane-20mg.php]Accutane 20mg[/url] Isotretinoin Shop Canada Pharmacy 24 H [url=http://viagra-for-sale.viasample.com]Viagra For Sale[/url] Generika Viagra 25mg Farmaci Levitra [url=http://levitra-order.buylevi.com]Levitra Order[/url] Cephalexin Storage Cialis 20mg France [url=http://cheap-viagra-tablets.via100mg.com]Cheap Viagra Tablets[/url] Propecia Kidney Stones

203. Nice blog here! Also your web site loads up very fast! What web host are you using? Can I get your affiliate link to your host? I wish my website loaded up as quickly as yours lol

204. marc jacobs outlet ??????30????????????????5??????????????? | ????????

205. Wow! Thank you! I constantly wanted to write on my site something like that. Can I include a part of your post to my site?

206. techocd.com says:

Hi there, after reading this awesome post i am as well glad to share my knowledge here with
mates.