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Congruent Incircles (Posted on 2008-04-11) Difficulty: 3 of 5


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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Some Thoughts re: Cevian! Lost! | Comment 2 of 4 |
(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
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