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Write a Pythagorean Triplet Whose One Member Is 16 - CBSE Class 8 - Mathematics

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Question

Write a Pythagorean triplet whose one member is 16

Solution

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

If we take m2 + 1 = 16, then m2 = 15

The value of m will not be an integer.

If we take m2 − 1= 16, then m2 = 17

Again the value of m is not an integer.

Let 2m = 16

= 8

Thus, m2 − 1 = 64 − 1 = 63 and m2 + 1 = 64 + 1 = 65

Therefore, the Pythagorean triplet is 16, 63, and 65.

  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: 2.3 | Page no. 98

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Solution Write a Pythagorean Triplet Whose One Member Is 16 Concept: Finding the Square of a Number - Pythagorean Triplets.
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