# 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  $\overline{BD}$ ?

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

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.

### 249 Responses

1. Anonymous says:

“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. 7.5 cm 🙂

5. K.Rahul Mohideen says:

BD=10.85

6. 10.53

7. Spandy says:

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

8. Jhay Dela Cruz says:

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

Pup taguig

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20/17sqrt85

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