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Prove that the ratio of altitudes of two...

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

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

Prove that 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 triangle is equal to the square of the ratio of their corresponding medians.

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the bisectors of the corresponding angles of the triangles. [The end-points of the angular bisectors are on the opposite sides of the angles.]

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding altitudes.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding medians.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding angle bisector.

If two triangles are equiangular then prove that the ratio of the corresponding sides is (i)Same as the ratio of the corresponding sides.

If the altitude of two similar triangle are in the ratio 2:3 what is the ratio of their areas?

Fill in the gap : The ratio of the areas of two similar triangles is equal to the square of the ratio of their _______.