Is 24 32 40 a pythagorean triple?

Answer 1

The easy answer: Yes.

To go in depth, the pythagorean theorem is a^2+b^2=c^2. C is always the longest side, or hypotenuse, so you would replace c with 40. A and B can be in any order, so let's replace a with 24 and b with 32.

A Squared=24 Squared=576

B Squared=32 Squared=1024

C Squared=40 Squared=1600

Now to test it:

576+1024=1600

1600=1600

So yes, it is a pythagorean triple.

* * * * *

There is a simpler method.

3-4-5 is a well known Pythagorean triple. Therefore, any multiple of the triple is also a Pythagorean triple.

24-32-40 are 8 times the corresponding numbers and so they form a Pythagorean triple.