Classical geometry 2

Geometry Level 5

In the figure to the right, the yellow circle is tangent to △ A B C \triangle ABC at points D , E , F . D, E, F.

2 14 , 4 3 , 2 \sqrt{14}, 4 \sqrt{3}, and 42 \sqrt{42} are the lengths of the common tangents to the semicircles of diameters ( B D , C D ) , ( C E , A E ) , (BD, CD), (CE, AE), and ( A F , B F ) , (AF, BF), respectively.

What is the radius of the yellow circle?


The answer is 4.

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Rahul Paswan by Rahul Paswan , 26, India

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1 solution

Rahul Paswan
Feb 19, 2015

11 Helpful 2 Interesting 3 Brilliant 0 Confused

Did the same way..Solutions of Triangles FTW :P

pranav jangir - 6 years, 3 months ago

https://brilliant.org/problems/find-the-areaonly-your-logic-can-help-you/?group=3UHxOzwinQpA&ref_id=384997

PLEASE TRY TO DO THIS AWSOME PROBLEM TOO..post a solution if you get......................i am waiting for an awesome solution that i made while creating this problem

Yash Sharma - 6 years, 3 months ago

Nope correct answer is 1.92

Deepika Putta - 3 years, 4 months ago

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