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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 $10\ cm$.
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