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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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