Question

Are 21, 27 and 36 an example of a Pythagorean triplet?

Answer 1

No, the following numbers do not form a Pythagorean triplet.

Explanation:

If three sides `a,b,c`

in which `color(blue)(a)> color(green)(b,c` are supposed to be a Pythagorean triplet they should satisfy the Pythagoras theorem:

`color(blue)(a^2) = color(green)(b^2 +c^2`

Here `color(blue)(a=36, color(green)(b = 27, c=21`

As per theorem:

`color(blue)(a^2` should be equal to `color(green)( b^2 +c^2`

But the sum doesn't follow the Pythagoras theorem, as:

`36^2 != 27^2 + 21^2`
`1296 != 729 + 441`
`1296!=1170`

So, the following numbers do not form a Pythagorean triplet.