Question

Prove that : When two triangles are similar, the ratio of areas of those triangles is equal to the ratio of the squares of their corresponding sides.



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Answer 1

Answer:

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Theorem: If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides. This proves that the ratio of the area of two similar triangles is proportional to the squares of the corresponding sides of both the triangles.

Answer 2

Answer:

So we can draw a perpendicular AD from A to BC and PS from P to QR. As two angles are equal so the third angle of both triangles should also be equal. Hence we can say the ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides.