MathDB
Purple Comet 2009 MS Problem 12

Source:

April 21, 2012
geometry

Problem Statement

In isosceles triangle ABCABC sides ABAB and BCBC have length 125125 while side ACAC has length 150150. Point DD is the midpoint of side ACAC. EE is on side BCBC so that BCBC and DEDE are perpendicular. Similarly, FF is on side ABAB so that ABAB and DFDF are perpendicular. Find the area of triangle DEFDEF.
Back to ProblemsView on AoPS