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

1 Answer
Jul 1, 2015

Answer:

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.