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

+1 vote
18.2k views

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

+1 vote
by (257k points) 1 flag
selected

Let ΔABC and ΔPQR be two similar triangles. AD and PM are the medians of ΔABC and ΔPQR respectively.

+1 vote