daVinci Proof
Looking at the diagram, triangles HKJ and ABC are congruent. The steps to the proof:
- The triangles ADF and ABC are congruent because of SAS. The quadrilaterals ABJH,HKCA,EBCG,and EDFG are congruent.
- The hexagons ABJHKC and EBCGFD have the same area.
- The area of each hexagon is decreased by twice the area of triangle ABC.
- This leaves the area of the square on the hypotenuse equal to the sum of the areas of the squares on the legs.