Freehand Geometry: Problem of the Week (December 14 – December 21, 2013)

 

Triangles in a triangle

Triangle ABC is a right triangle with right angle at B. The legs are of length 15 and 8. Point D is on the hypotenuse of the triangle such that the line BD divides the original triangle into two different triangles with the same perimeter. How long is  \overline{BD} ?

 

Comment your answer below.

 Note: I am the only one who can see your comments. You are only allowed to comment your answer once. Comments will be revealed next week December 21, 2013 (Philippines Time). You can also send your answer to techiemathteacher@gmail.com .  Please DON’T FORGET TO INCLUDE YOUR NAME AND THE NAME OF YOUR SCHOOL. Names of those who commented the correct answer will be posted in this page immediately after the answer has been reviewed. Happy Solving!

Click here for old problems

1. Arsh Singh. yourmathguru.com

2. K.Rahul Mohideen

3. Muthu Krishna. Kle College , Bengaluru

4. Kennard Ong Sychingping, De La Salle University

5. Joshua Alforque Gonzales. Cebu Technological University – Main Campus

6. Paolo Go.DLSU

7. Kenny Wong, Jurong Junior College, Singapore

8. Jia Syuen- SMJK Sam Tet, Malaysia

Dan

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.
Dan

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249 Responses

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    “Point D is on the hypotenuse of the triangle such that the line AD divides the original triangle into two different triangles with the same perimeter.”

    Isn’t it line BD that divides the triangle into two triangles or that Point D is on line BC?

  2. kryptonj123 says:

    Sorry. Yes, thanks. Its updated.

  3. Gio Alfred Gloria. Cauayan City National High School says:

    11

  4. K.Rahul Mohideen says:

    BD=10.85

  5. Spandy says:

    Spandan B, Pace Jr. Science College, India-
    I believe its 12

  6. Jhay Dela Cruz says:

    Approx 11..sorry only using cp calculator.. i did not use scratch paper.. hehe..

    Pup taguig

  7. Jia Syuen- SMJK Sam Tet, Malaysia says:

    20/17sqrt85

  8. Chrisa Belle Bataller says:

    12.69..hehe

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