Question

Find the perimeter of the triangle, if all the sides of the triangle are equal in length.

Short answer

The perimeter of the triangle is$39unit$.

Step-by-step solution

. Apply the concept of equilateral triangle and perimeter of the triangle

In this type, in equilateral triangle its properties is all the sides of the triangle are equal & the perimeter is$3\times side$.

Step  2. Finding the length of the sides of the triangle

Since,

Let the length of the side be x.

The sides of the triangles are $2x+5,4x-3$.

Now, from the property of the triangle, take the variable and constant in separate side and then do mathematical operations.

$\begin{array}{l}2x+5=4x-3\\ 2x-4x=-5-3\\ -2x=-8\\ x=\frac{8}{2}\\ x=4\end{array}$

Step  3 .Finding the perimeter 

Now, the length of the side is$2x+5=2\left(4\right)+5=8+5=13$

So, the perimeter is ,

$\begin{array}{l}P=3\times side\\ P=3\times 13\\ P=39unit\end{array}$