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Question

If 24, x, 26 form a pythagorean triplet, then find x?


A

8

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B

9

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C

10

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D

11

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Solution

The correct option is C

10


24 and 26 lie adjacent to 25.

24 = 25 - 1; 26 = 25 + 1

or, 24 = 521; 26 = 52+1

Comparing it to the triplet set (2m, m21, and m2+1), we get, m = 5.

Therefore, x = 2m = 2x5 = 10.


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