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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 its third side?
Given:
Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm.
To do:
We have to find its third side.
Solutions:
We know that,
The perimeter of a triangle is defined as the sum of all three sides
Let the third side of the triangle be $x\ cm$
The perimeter of the triangle $ =36\ cm$
Therefore,
$ 12+14+x = 36\ cm$
$26+x = 36$
$x = 36-26$
$x = 10\ cm$
The length of its third side is $10\ cm$.
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