MathDB
SMT 2013 Geometry #10

Source:

February 18, 2013
geometry

Problem Statement

Let triangle ABCABC have side lengths AB=16,BC=20,AC=26.AB=16, BC=20, AC=26. Let ACDE,ABFG,ACDE, ABFG, and BCHIBCHI be squares that are entirely outside of triangle ABCABC. Let JJ be the midpoint of EHEH, KK be the midpoint of DGDG, and LL be the midpoint of ACAC. Find the area of triangle JKLJKL.