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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.

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in Mathematics by kratos

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

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+6 votes
by kratos
 
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Let ΔABC and ΔPQR be two similar triangles. AD and PM are the medians of ΔABC and ΔPQR respectively.

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