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Write a Pythagorean Triplet Whose One Member Is 6 - Mathematics

Write a Pythagorean triplet whose one member is 6

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Solution

For any natural number m > 1, 2mm2 − 1, m2 + 1 forms a Pythagorean triplet.

If we take m2 + 1 = 6, then m2 = 5

The value of m will not be an integer.

If we take m2 − 1 = 6, then m2 = 7

Again the value of m is not an integer.

Let 2m = 6

m = 3

Therefore, the Pythagorean triplets are 2 × 3, 32 − 1, 32 + 1 or 6, 8, and 10.

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APPEARS IN

NCERT Class 8 Maths Textbook
Chapter 6 Squares and Square Roots
Exercise 6.2 | Q 2.1 | Page 98
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