← GeoProof

Two triangles are shown side by side. The left triangle ABC can be reshaped by dragging its vertices. The right triangle DEF is built to have the same three angles as ABC, and a slider sets its size. Because the two triangles have equal angles, they are similar, so their corresponding sides are all in the same ratio. The angles and the three side ratios are shown live and stay equal. An info button opens a drawer explaining AA similarity.

equal angles ⟹ similar ⟹ DE/AB = EF/BC = FD/CA