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Write a Pythagorean Triplet Whose One Member Is 14 - Mathematics

Write a Pythagorean triplet whose one member is 14

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Solution

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

If we take m2 + 1 = 14, then m2 = 13

The value of m will not be an integer.

If we take m2 − 1 = 14, then m2 = 15

Again the value of m is not an integer.

Let 2= 14

m = 7

Thus, m2 − 1 = 49 − 1 = 48 and m2 + 1 = 49 + 1 = 50

Therefore, the required triplet is 14, 48, and 50.

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APPEARS IN

NCERT Class 8 Maths Textbook
Chapter 6 Squares and Square Roots
Exercise 6.2 | Q 2.2 | Page 98
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