Prove that The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Question

Areas of Similar Triangles:

Prove that The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Answer 1

Proof: We are given two triangles ABC and PQR such that ΔABC ~ ΔPQR

For finding the areas of the two triangles, we draw altitudes AM and PN of the triangles.