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Let ABCD be a trapezoid with bases ¯AB and ¯CD. Let P be a point on side ¯CD, and let X, Y be the feet of the altitudes from P to ¯AD, ¯BC respectively.  Prove that if AB=5, CD=5, and CPPD=1224, then PX=PY.

 
 Nov 28, 2023

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