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Prove that the ratio of the areas of two...

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

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Prove that the ratio of the areas of two similar triangles 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 square of the ratio of their corresponding medians.

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