The ratio of area of Two similar triangles is equal to the ratio of the squares of any two corresponding sides.

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

Ratio of areas of two similar triangles are

The ratio of the the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides/altitudes.

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

Theorem 6.6 : The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

The areas of the two similar triangles are in the ratio of the square of the corresponding medians.

The ratio of areas of two similar triangles is 4:9. Then, the ratio of their sides is:

The area of two similar triangles are in ratio of the squares of the corresponding altitudes.