Question

which of the following is Pythagorean triplet
(a) 10,11,12 (b) 6,8,10,

Answer 1

6SQR. + 8SQR. = 10SQR.
36+64=100
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Answer 2

To check if it is a Pythagorean triplet, we will use the Pythagorean Theorem to check if the square root of the sum of the squares of the two shorter legs is equal to the longest leg.

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(a) 10, 11, 12

a² + b² = 10² + 11² = 100 + 121 = 221

√221 = 14.88 ≠ 12

Hence, this is not a Pythagorean triplet

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(b) 6, 8, 10

a² + b² = 6² + 8² = 36 + 64 = 100

√100 = 10

Hence, this is a Pythagorean triplet