Gerard concluded that the triangle with sides StartRoot 95 EndRoot feet, 8 feet, and StartRoot 150 EndRoot cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? Explain.

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.