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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ७ वी

Find the Pythagorean triplet from among the following set of numbers. 3, 4, 5

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प्रश्न

Find the Pythagorean triplet from among the following set of numbers.

3, 4, 5

बेरीज
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उत्तर

It is known that, if in a triplet of natural numbers, the square of the biggest number is equal to the sum of the squares of the other two numbers, then the three numbers form a Pythagorean triplet.

The given set of numbers is (3, 4, 5).

The biggest number among the given set is 5.

52 = 25; 42 = 16; 32 = 9

Now, 16 + 9 = 25

∴ 42 + 32 = 52

Thus, (3, 4, 5) form a Pythagorean triplet.

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पाठ 13: Pythagoras’ Theorem - Practice Set 49 [पृष्ठ ९०]

APPEARS IN

बालभारती Mathematics [English] Standard 7 Maharashtra State Board
पाठ 13 Pythagoras’ Theorem
Practice Set 49 | Q 1.1 | पृष्ठ ९०
बालभारती Mathematics Integrated [English] Standard 7 Maharashtra State Board
पाठ 13 Pythagoras' Theorem
Practice Set 49 | Q 1. (i) | पृष्ठ ४०

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