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Question

The hypotenuse of a right triangle with its legs of lengths 3x×4x is


A

5x

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B

7x

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C

16x

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D

25x

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Solution

The correct option is A

5x


By the Pythagorean theorem =a=(b2+c2)

Given b=3xandc=4x

a=((3x)2+(4x)2)a=(9x2+16x2)a=25x2a=5x

Hence, the hypotenuse of the right triangle is5x.


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