MathDB
2016 Guts #14

Source:

December 24, 2016

Problem Statement

Let ABCABC be a triangle such that AB=13AB = 13, BC=14BC = 14, CA=15CA = 15 and let EE, FF be the feet of the altitudes from BB and CC, respectively. Let the circumcircle of triangle AEFAEF be ω\omega. We draw three lines, tangent to the circumcircle of triangle AEFAEF at AA, EE, and FF. Compute the area of the triangle these three lines determine.
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