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Write a Pythagorean Triplet Whose One Member Is 14 - CBSE Class 8 - Mathematics

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Question

Write a Pythagorean triplet whose one member is 14

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.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 6: Squares and Square Roots
Ex. 6.20 | Q: 2.2 | Page no. 98

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Solution Write a Pythagorean Triplet Whose One Member Is 14 Concept: Finding the Square of a Number - Pythagorean Triplets.
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