Go Geometry Problems

Problem 582: Quadrilateral, Diagonals, Incenters, Metric Relations. Level: Mathematics Education, High School, SAT Prep, College

The figure shows a quadrilateral ABCD. Diagonals AC and BD meet at O. If E, F, G, and H are the incenters of triangles AOB, BOC, COD, and AOD, respectively, prove that EF2 + GH2 = EH2 + FG2.
 

Quadrilateral, Diagonals, Incenters, Metric Relations
 

Home | SearchGeometry | Problems | All Problems | Visual Index | 581-590 | Metric Relations | Quadrilaterals | Incenter | Email | Post a comment or solution | By Antonio Gutierrez