The Pythagorean triples whose smallest number is 8:
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.We can get Pythagorean triplet by using general form 2m, m2−1, m2+1
Let us first take
m2−1=8
So, m2=8+1=9
Which gives m=3
Therefore 2m=6 and m2+1=10
The triplet is thus 6,8,10, but 8 is not the smallest member of this triplet.
So let us try
2m=8
then m=4
We get m2+1=16−1=15
and m2+1=16+1=17
The triplet is 8,15,17 with 8 as the smallest member.
Hence, option D.
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