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Maharashtra State BoardSSC (English Medium) 10th Standard

Identify, with reason, if the following is a Pythagorean triplet. (5, 12, 13) - Geometry Mathematics 2

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Question

Identify, with reason, if the following is a Pythagorean triplet.

(5, 12, 13)

Sum
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Solution

In the triplet (5, 12, 13),

52 = 25,

122 = 144,

132 = 169

52 + 122 = 25 + 144 = 169

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

∴ (5, 12, 13) is a pythagorean triplet.

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Chapter 2: Pythagoras Theorem - Practice Set 2.1 [Page 38]

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Balbharati Mathematics 2 [English] Standard 10 Maharashtra State Board
Chapter 2 Pythagoras Theorem
Practice Set 2.1 | Q 1.3 | Page 38

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