Maharashtra State BoardSSC (English Medium) 7th Standard

Find the Pythagorean Triplet from Among the Following Set of Numbers. 4, 7, 8 - Mathematics

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Sum

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

4, 7, 8

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Solution

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 (4, 7, 8).
The biggest number among the given set is 8.
82 = 64; 72 = 49; 42 = 16
Now, 16 + 49 = 65 ≠ 64
∴ 42 + 72 ≠ 82
Thus, (4, 7, 8) does not form a Pythagorean triplet.

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Chapter 13: Pythagoras’ Theorem - Practice Set 49 [Page 90]

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Balbharati Mathematics 7th Standard Maharashtra State Board
Chapter 13 Pythagoras’ Theorem
Practice Set 49 | Q 1.6 | Page 90

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