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

  • (5, 12, 13)

  • (8, 15, 17)

  • (7, 8, 15)

  • (24, 25, 7)

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Solution

(7, 8, 15)

Here, 152 = 225

72 + 82 = 49 + 64 = 113

∴ 152 ≠ 72 + 82

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

∴ (7, 8, 15) is not a Pythagoras triplet.

Concept: Apollonius Theorem
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