Write a pythagorean triplet whose smallest number is 6

Solution:

Given, the smallest number is 6.

We have to write a pythagorean triplet.

For every natural number m > 1, 2m, m²-1 and m² + 1 form a pythagorean triplet.

Given, 2m = 6

m = 6/2

m = 3

So, m² - 1 = (3)² - 1

= 9 - 1

= 8

So, m² + 1 = (3)² + 1

= 9 + 1

= 10

Therefore, the pythagorean triplet is 6, 8, 10.

✦ Try This: Write a pythagorean triplet whose smallest number is 4.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 24

Write a pythagorean triplet whose smallest number is 6

Summary:

The pythagorean triplet whose smallest number is 6, is 6, 8, 10

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