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Question

Find a and b from 152 + a2 = b2.


A

8,9

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B

8,16

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C

8,17

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D

9,16

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Solution

The correct option is C

8,17


m2 - 1, 2m, m2 + 1 form a Pythagorean triplet

As the given number (15) is odd, it can't be of the form 2m.

m2 - 1 = 15

m2 = 16 → 16 is a perfect square.
So, m = 4

2m = 2 x 4 = 8

m2 + 1 = 42 + 1 = 16 + 1 = 17

So, a = 8
and b = 17


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