Question

Find the value of x such that the perimeter of the triangle is $15$units.

Short answer

The value of x is $x=3$.

Step-by-step solution

Step 1.Apply the concept of perimeter of triangle

In this, use the concept of perimeter of triangle such that the sum of three sides of the triangle shows the perimeter.

Step 2.Finding the equation to solve x

Since,

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

Now, the perimeter of the triangle is, $Perimeter=sumofallsides$.

$\begin{array}{l}Perimeter=sumofallsides\\ Perimeter=x+2+5+3x-4\\ 15=4x+3\end{array}$

Step 3.solving for x.

Since, the expression is $15=4x+3$.

$\begin{array}{l}15=4x+3\\ 15-3=4x+3-3\\ 12=4x\\ 4x=12\\ x=\frac{12}{4}\\ x=3\end{array}$