Question

The perimeter of a triangle is $64cm.$ Two of its sides measure $15cm$and $24cm$ respectively. Find the length of the third side of the triangle.

Answer 1

Find the length of the third side of the triangle:

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

so, the perimeter of a triangle$=15+24+x$

$=39+x$

But, according to the question,

Perimeter of the triangle$=64cm$

$$\begin{gathered} \Rightarrow 39+x=64 \\ \Rightarrow x=64-39 \\ \Rightarrow x=25cm \end{gathered}$$

Hence, the length of the third side is $25cm.$