Two sides of a triangle are $ 12 \mathrm{~cm} $ and $ 14 \mathrm{~cm} $. The perimeter of the triangle is $ 36 \mathrm{~cm} $. What is the length of the third side?

Given :

Two sides of a triangle are \( 12 \mathrm{~cm} \) and \( 14 \mathrm{~cm} \). The perimeter of the triangle is \( 36 \mathrm{~cm} \).

To find :

We have to find the length of the third side.

Solution :

Let the length of the third side be $x$.

The perimeter of a triangle is the sum of all the sides of the triangle.

Therefore,

Perimeter$= 12+14+x$

$\Rightarrow x+26=36$

$\Rightarrow x=36-26$

$\Rightarrow x=10\ cm$

Therefore, the length of the third side is $10\ cm$.