Theorem: The ratio of the areas of two triangles is equal to the ratio of the product of their bases and corresponding heights.
To prove the above theorem,
a. Draw two triangles, and show their bases and heights.
b. Write 'given' and 'to prove' from the figures drawn.

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

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

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

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

Complete the following activities The areas of two triangle with same base are in proportion of their corresponding height. To prove the theorem, answer the following a. Draw two triangles, give names of all points,show their bases. b. Write ' given' and 'to prove' from the figures drawn.

The ratio of the area of two similar triangle is 4:5 , the ratio of their corresponding sides are :

The ratio of the areas of two similar triangles is 5:3 , then ratio of their corresponding sides is :

Prove that the ratio of the perimeters of two similar triangles is the same as the ratio of their corresponding sides.

Area of two similar triangles are in the ratio of 5:3 then the ratio of their corresponding sides is :

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