Online Geometry theorems, problems, solutions, and related topics.
Geometry Problem. Post your solution in the comments box below.Level: Mathematics Education, High School, Honors Geometry, College.Click the figure below to enlarge the figure of problem 1013.
Triangles EOA-FBO and GOD-HCO are congruent by ASA, making EO=FB and GO=HC. Therefore AE^2+(FB=EO)^2+GD^2+(CH=GO)^2=AO^2+OD^2=AD^2
By symmetry, AE=OF=OG=CH, BF=OE=OH=DG. AE² + BF² + CH² + DG²= AE² + OE² + OG² + DG²= OA² + OD²= AD²