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?

(In reply to Cevian! Lost! by brianjn)

A cevian is a line segment from a vertex of a triangle to the opposite side or its extension (see theorem of Ceva).

In my proof I use two methods: trig and areas.

Posted by Bractals on 2008-04-18 14:06:55