Discussion

Explanation:

Let the sides of the triangle be a –d, a, a + d, then hypotenuse being the greatest side i.e. a + d.

So (a + d)2 = a2 + (a – d)2

⇒ a2 + d2 + 2ad = 2a2 - 2ad + d2

⇒ a = 4d.

Therefore ratio of the sides = a – d : a : a + d = (4d – d) : 4d : (4d + d) = 3 : 4 : 5.

Hence, option (a).

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