# 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?

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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 $10\ cm$.

Updated on 10-Oct-2022 13:36:27