Question

find from the following set of numbers that it is Pythagoras triplets or not the numbers are as follows 9,40,41​

Answer 1

Step-by-step explanation:

We know that a^2+b^2=c^2, (Pythagoras formula)

Let a=9

b=40

c=41

So, we have to check whether if 9^2+40^2=41^2 or not

=81+1600=1681

41^2=1681

Therefore, 9, 40, 41 is a Pythagorean triplet

Answer 2

Answer:

No, 9, 40, 41 are not Pythagoras triplets.

Step-by-step explanation:

Let, the smallest even number be 2m i.e 40.

So, 2m = 40

or, m = 40/2 = 20

We know,

Formula for finding pythagoras triplets are m²+1, m²-1.

Therefore,

20²+1 = 401

20²-1 = 399.

Hence, the triplets are 40, 401, 399.