Let ABC be a 3-4-5 triangle with right angle C. Let D be a point on the hypotenuse. CD then partitions ABC into ACD and BCD.

Where is D located if ACD and BCD have congruent incircles?

(In reply to Solution by construction by broll)

Very cool solution!  Deriving CD through construction is something I would not have thought to try!

Posted by Brian Smith on 2017-01-01 19:04:14