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CBSE Class 8 Answered

How to find Pythagorean triplet if smallest number is 10
Asked by Prabhakarmallepally | 29 Jun, 2018, 07:04: AM
answered-by-expert Expert Answer
begin mathsize 16px style For space every space naturat space number space straight a space greater than space 1 space
left parenthesis space 2 straight a space comma space straight a squared space minus space 1 space comma space straight a squared space plus space 1 right parenthesis space is space straight a space Pythagorean space Triplets.
means space 2 straight a space greater than space space straight a squared space minus space 1 space greater than straight a squared space plus space 1
Here space in space Pythagorean space triplet space the space smallest space number space is space 10.
rightwards double arrow 2 straight a space equals space 10
rightwards double arrow straight a space equals space 5
2 straight a space equals space 5 space cross times space 2 space equals space 10
straight a squared space minus space 1 space equals space 25 space minus space 1 space equals space 24
straight a squared space plus space 1 space equals 25 space plus space 1 space equals space 26
Therefore space the space Pythagorean space triplet space is space left parenthesis 10 comma space 24 comma space 26 right parenthesis end style
Answered by Yasmeen Khan | 29 Jun, 2018, 09:06: AM
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