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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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asked Feb 3, 2018 in Mathematics by Kundan kumar (49,132 points) ● 34 ● 383 ● 1024

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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answered Feb 3, 2018 by Vikash Kumar (144,729 points) ● 8 ● 11 ● 21
 
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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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