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Question

 If 8, 15 and c form a Pythagorean triplet then the value of c is



A

14

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B

18

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C

17

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D

16

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Solution

The correct option is A

17


For any natural number m > 1,

we have (2m)2  + (m2 – 1)2 = (m2 + 1)2 .

So, 2m,m21 and m2+1 form a Pythagorean triplet.

Here, 2m = 8 or m = 4, then (m2 – 1) = 16 - 1 = 15.

Therefore, c = (m2+1) = 16 + 1 = 17.


Mathematics

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