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

Jul 1, 2015

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:

${36}^{2} \ne {27}^{2} + {21}^{2}$
$1296 \ne 729 + 441$
$1296 \ne 1170$

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