MathDB
2010 Geometry #4

Source:

January 2, 2024
geometry

Problem Statement

Let ABCDABCD be an isosceles trapezoid such that AB=10AB=10, BC=15BC=15, CD=28CD=28, and DA=15DA=15. There is a point EE such that △AED\triangle AED and △AEB\triangle AEB have the same area and such that ECEC is minimal. Find ECEC.
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