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Choose the correct alternative: Out of given triplets, which is a Pythagoras triplet? - Geometry

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MCQ

Choose the correct alternative:

Out of given triplets, which is a Pythagoras triplet?

Options

  • (1, 5, 10)

  • (3, 4, 5)

  • (2, 2, 2)

  • (5, 5, 2)

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Solution

(3, 4, 5)

Here, 52 = 25

32 + 42 = 9 + 16 = 25

∴ 52 = 32 + 42

The square of the largest number is equal to the sum of the squares of the other two numbers.

∴ (3, 4, 5) is a Pythagoras triplet. 

Concept: Property of 30°- 60°- 90° Triangle Theorem
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