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Jagdish Yadav

· started a discussion

· 1 Months ago

all the primitive triplets have factors of 2 and 5 in it.
eg.
3,4,5
12,5,13
15,8,17
20,21,29
etc.

Question:

If three sides of a right-angled triangle are integers in their lowest form, then one of its sides is always divisible by– 

Options:
A)

2

B)

8

C)

7

D)

None of these

Solution:

Ans:(a) A Pythagorean triplet is always in the form [2m, m2 â€“ 1, m2 + 1] m ïƒŽZ

 [2, 0, 2] for m = 1

   [4, 3, 5] for m = 2

One of them is always divisible by 2.

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