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Geometry Problem 19 with Solution: Isosceles Right Triangle, Excenter, Perpendicular, Congruence, Auxiliary Lines. Sketch.

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In an isosceles triangle ABC (AB = BC), angle B is a right angle. D is the excenter and BE is drawn perpendicular to AD. Prove that AD = 2BE. (See the figure below)
 

Isosceles Right Triangle, Excenter, Perpendicular, Congruence
 


 

See solution below

Sketch of problem 19

Sketch of Geometry Problem 19: Isosceles Right Triangle, Excenter, Perpendicular, Congruence, Auxiliary Lines, iPad Apps
 

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Last updated: Dec 10, 2017

Geometry Problem 19 Solution(s)