The height of a trapezoid is 8 in. and it's area is 96 squared inch. one base of the trapezoid is 6 inches longer than the other base. what are the lengths of the bases? explain how you found your answer.

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.