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Finding Pythagorean Triplets for Any Given Number

Question

$10, 24$ and __ will form a Pythagorean triplets.
$25$
$26$
$27$
$28$

A

25

B

26

C

27

D

28

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Solution

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We know that Pythagorean triplets will satisfy the condition, $a^{2} + b^{2} = c^{2}$
$c^{2} = 10^{2} + 24^{2} = 100 + 576 = 676 = c^{2}$
$c = 26$

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