perplexus.info :: Geometry : Congruent Incircles

Congruent Incircles (Posted on 2008-04-11)

Let ABC be an equilateral triangle with side length 2.
Let the altitude AA' and a cevian BB' intersect at a point D.

If the incircles of triangles ABB' and BCD are congruent, then what is the value of their common radius?

See The Solution Submitted by Bractals

Rating: 3.0000 (1 votes)

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Answer

Comment 4 of 4 |

The required value of the common radius is approximately 0.317837 (correct to six places of decimals.)

Posted by K Sengupta on 2008-12-30 16:17:16

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