Question

The sides of a triangle are in the ratio$3:2:4$. If the perimeter is $81cm$, then find the length of its side.

Answer 1

We have, the sides of a triangle are in the ratio $3:2:4$

Let their three sides are $3x,2x,4x$respectively.

We know that,

The perimeter of a triangle $=$ Sum of three sides of the triangle

$$\begin{gathered} \Rightarrow 81=3x+2x+4x \\ \Rightarrow 81=9x \\ \Rightarrow x=\frac{81}{9}=9cm \end{gathered}$$

Since the lengths of their sides are$3x,2x,4x$

Thus,

$$\begin{gathered} 3x=3\times 9cm=27cm \\ 2x=2\times 9cm=18cm \\ 4x=4\times 9cm=36cm \end{gathered}$$

Hence, the three sides are $27cm,18cm,36cm$ respectively