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AB <BD wanted, two right triangles, midpoint 2004 Portugal p2

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October 13, 2020
geometryright trianglegeometric inequality

Problem Statement

Consider the triangles [ABC][ABC] and [EDC][EDC], right at AA and DD, respectively. Show that, if EE is the midpoint of [AC][AC], then AB<BDAB <BD. https://cdn.artofproblemsolving.com/attachments/c/3/75bc1bda1a22bcf00d4fe7680c80a81a9aaa4c.png
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