Question

Consider the following triangle to answer the following questions what is the value of x?

Answer 1

let us say given is a isoceles triangle .

two sides of the isocles traingle are equal.

The given sides of triangle are,

$\begin{gathered} AB=5x-3 \\ BC=3x+7 \\ AC=6x-3 \end{gathered}$

consider, AB=BC.

$\begin{gathered} AB=AC \\ (5x-3)=(3x+7) \\ 5x-3x=7+3 \\ 2x=10 \\ x=\frac{10}{2} \\ x=5 \end{gathered}$

thus, x= 5.