Geometry Problem 1333: Two Squares Side by Side, Three Triangles, Area, Measurement. Level: High School. Math Infographic.

The figure below shows the squares ABCD and DEFG (E on CD). Line EKH is perpendicular to AE (K on DG and H on FG extended). If the area of the triangle ACE is 42 and the area of the triangle AHK is 56, find the area of the triangle EGK.