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The sides of a right angled triangle are in A.P., then they are in the ratio

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$3 : 4 : 5$

$3 : 1 : 2$

$2 : 3 : 5$

$2 : 3 : 1$

answer is C.

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Detailed Solution

Let c be the hypotenuse. a,b,c are in A.P., $\Rightarrow b = (a + c) / 2; a^{2} + b^{2} = c^{2}$

$\Rightarrow a^{2} + {[(a + c) / 2]}^{2} = c^{2}$

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