A triangle has sides with lengths of 2cm , 3cm , 4 cm. Is it a right triangle?

To verify if the given triangle is right, we'll have to
use the converse of Pythagorean theorem. This means that if the sum of the squares of
the smaller lengths is equal to the square of the largest length, then the triangle is
right.

We notice that the largest length is of 4cm and
we'll apply the converse of Pythagorean theorem.

`4^2 = 2^2
+ 3^2`

`16 = 4 +
9`

`16 != 13` => the given triangle,
whose lengths of the sides are 2cm,3cm and 4cm is not a right angled
triangle.