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,
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,
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,
(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
Latest posts by Dan (see all)
- 2016 MMC Schedule - November 4, 2015
- 2014 MTAP reviewer for Grade 3 - September 30, 2015
- 2015 MTAP reviewer for 4th year solution part 1 - August 22, 2015
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
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!
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!
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.