Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. Use the above theorem for the following:If the areas of two similar triangles are equal, prove that they are congruent.
Given: Two triangles ABC and PQR such that ΔABC ~ ΔPQR
Construction: Draw AM ⊥ BC and PN ⊥ QR.
Now, in ΔABM and ΔPQN,
Now, let DABC ~ DPQR such that