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Question
If one member of a pythagorean triplet is 2m, then the other two members are ______.
Options
m, m2 + 1
m2 + 1, m2 – 1
m2, m2 – 1
m2, m + 1
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Solution
If one member of a pythagorean triplet is 2m, then the other two members are m2 + 1, m2 – 1.
Explanation:
2m = 4
⇒ m = 2
m2 + 1 = 22 + 1
= 4 + 1
= 5
And m2 – 1 = 22 – 1
= 4 – 1
= 3
Now, 32 + 42 = 52
⇒ 9 + 16 = 25
⇒ 25 = 25
So 3, 4 and 5 are pythagorean triplets.
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