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Prove that the area of an equilateral triangle described on a side of a right-angled isosceles triangle is half the area

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Prove that the area of an equilateral triangle described on a side of a right-angled isosceles triangle is half the area of the equilateral triangle described on its hypotenuse.

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Answer is......

But, 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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