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area chasing with angle bisector 2014 BMT Team 13

Source:

January 2, 2022
geometryareasangle bisector

Problem Statement

Let ABCABC be a triangle with AB=16AB = 16, AC=10AC = 10, BC=18BC = 18. Let DD be a point on ABAB such that 4AD=AB4AD = AB and let E be the foot of the angle bisector from BB onto ACAC. Let PP be the intersection of CDCD and BEBE. Find the area of the quadrilateral ADPEADPE.
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