Question

Which of the following is Pythagorean triplet whose smallest member is 8?
(a)8,16,32
(b)4.8.16
(c)8,15,17
(d)6,8,10​

Answer 1

Answer:

d option is the answer of this question

Answer 2

We can get Pythagorean triplet by using general form 2m, m
2
−1, m
2
+1
Let us first take
m
2
−1=8
So, m
2
=8+1=9
Which gives m=3
Therefore 2m=6 and m
2
+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 m
2
+1=16−1=15
and m
2
+1=16+1=17
The triplet is 8,15,17 with 8 as the smallest member.
Hence, option D.