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If sides of any right angled triangle are in A.P., then find the ratio of length of their sides.

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If sides of any right angled triangle are in A.P., then find the ratio of length of their sides.

[Hint : (a + d)2 = (a - d)2 + a2 ⇒ a/b = 4]

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1 Answer

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Best answer

Let sides of right angled triangle are

a – d, a, a + d

By Pythagoras theorem

(a + d)2 – (a – d)2 + a2

(∵ hypotenuse is longest side)

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