Online Geometry Problem 863: Circumscribed trapezoid, Inscribed Circle, Tangent, Metric Relations. Level: High School,
College,
Mathematics Education

The figure below shows a circumscribed
trapezoid ABCD (AD // BC) with BC, CD, AD, and AB tangent to the
inscribed circle at points E, F, G, and H. DE and CG intersect at K. If
CE = 2 and DG = 5, find KF.