Choose the correct alternative: Out of given triplets, which is not a Pythagoras triplet? - Geometry

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MCQ

Choose the correct alternative:

Out of given triplets, which is not a Pythagoras triplet?

Options

  • (9, 40, 41)

  • (11, 60, 61)

  • (6, 14, 15)

  • (6, 8, 10)

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Solution

(6, 14, 15)

Here, 152 = 225

62 + 142 = 36 + 196 = 232

∴ 152 ≠ 62 + 142

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴(6, 14, 15) is not a Pythagoras triplet.

Concept: Apollonius Theorem
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