Question

prove that the area of the equilateral triangle drawn on the hypotenuse of a right angel triangle is equal to the sum of the areas of the equilateral triangle drawn on the other two sides of the triangle​

Answer 1

1 Answer. Let a right triangle BAC in which ∠A is right angle and AC = y, AB = x. Three equilateral triangles ΔAEC, Δ AFB and ΔCBD are drawn on the three sides of ΔABC. Again let area of triangles made on AC, AS and BC are A1, A2 and A3, respectively

Step-by-step explanation:

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Answer 2

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Let RST a right triangle at S & RS = y

ST = x

Three semi circles are draw on the sides RS, ST and RT

respectively,

A1, A2 and A3.

Hence proved

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