Geometry Problem: Prove AB=BE=EA

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SUMMARY

The geometry problem requires proving that segments AB, BE, and EA are equal in a square ABCD, given that angles EDC and ECD are both 15°. The solution must be derived using geometric principles without the use of trigonometry. A successful resolution to the problem can be found at the provided blog link, which outlines the necessary steps and reasoning to achieve the proof.

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Homework Statement



http://img58.imageshack.us/img58/1977/49718826ce7.png

you need to prove that AB=BE=EA

Homework Equations


only that angleEDC = angleECD=15°
and ABCD is a square
and it should be solved used only geometry, with no trigo.


The Attempt at a Solution


nvm, got it
 
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http://geometri-problemleri.blogspot.com/2009/11/problem-52-ve-cozumu.html
 
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