MathDB
2011 Spring LMT Individual Round Problem 17

Source:

September 11, 2023
geometry

Problem Statement

Let ABCABC be a triangle with AB=15AB = 15, AC=20AC = 20, and right angle at AA. Let DD be the point on BC‾\overline{BC} such that AD‾\overline{AD} is perpendicular to BC‾\overline{BC}, and let EE be the midpoint of AC‾\overline{AC}. If FF is the point on BC‾\overline{BC} such that AD‾∥EF‾\overline{AD} \parallel \overline{EF}, what is the area of quadrilateral ADFEADFE?
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