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In triangle ABC  the angle bisector of BAC meets BC at D such that AD = AB. Line segment AD is extended to E such that CD equals CE and DBE = BAD show how triangle ACE is isosceles. Also please explain. Thank you. 

 

https://latex.artofproblemsolving.com/d/3/5/d35b00e81a091116526d86f896d59616cfaa2463.png

Link to the image. 

 Jun 21, 2020
edited by Guest  Jun 21, 2020
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This is easy if you use coordinates.

 Jun 10, 2021

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