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Question

Which among the following are Pythagorean triplets?

A
15, 8, 17
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B
12, 16, 20
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C
3, 4, 5
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D
1, 1, 2
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Solution

The correct option is C 3, 4, 5

Pythagorean triplets are set of three positive integers a, b, c such that, a2+b2=c2.

152+82=225+64=289=172.Hence, the numbers 15, 8 and 17 form a Pythagorean triplet.

32+42=9+16=25=52.Hence, the numbers 3, 4 and 5 form a Pythagorean triplet.

122+162=144+256=400=202Hence, the numbers 12, 16 and 20form a Pythagorean triplet.

11+11=1+1=222Hence, the numbers 1, 1 and 2does not form a Pythagorean triplet.


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