Solution: If we take
Then,
Then the value of m will not be an integer.
m2 - 1 = 12
m2 = 12 + 1 = 13
So, we try to take m2 + 1 = 12. Again m² = 11 will not give an in
So, let us take
then
2m = 12
m = 6
m2 – 1 = 36 - 1 = 35
Thus,
and m2 + 1
Therefore, the required triplet is 12, 35, 37.
Note: All Pythagorean triplets may not be obtained using this
triplet 5, 12, 13 also has 12 as a member.
EXERCISE 6.2
1. Find the square of the following numbers.
(i) 32
(ii) 35
W 71
(vi) 46
(iii) 86
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