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ABC right triangle if CD=BC, AE=2CA, AD=BE Puerto Rico TST 2020.3

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September 22, 2021
geometryright triangleequal segments

Problem Statement

The side BCBC of the triangle ABCABC is extended beyond CC to DD, such that CD=BCCD=BC. The side CACA is extended beyond AA to EE, such that AE=2CAAE=2CA. Prove that if AD=BEAD=BE, then the triangle ABCABC is right.
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