find the Pythagorean triplet whose one number is 15
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- The triplets are 8,15 and 17.
Explanation:
Given:
The given number is 15.
To Find:
Other Pythagorean Triplets.
Solution:
Take 2n=15
So, n=n/2 is not possible.
n²- 1=15
By further calculation,
n²= 15+1
= 16
= 4²
Therefore, n= (√4)² = 4
Forms of Pythagorean Triplets:
- 2n
- n²-1
- n²+1
So we get,
- 2n= 2×4= 8
- n²-1= 4²-1 =16-1= 15
- n²+1= 4²+1 = 16+1= 17
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