Question

If the triangle below is equilateral and side AB = 6x - 9 and side BC = 2x - 5, find x.

Answer 1

Given:

There is an equilateral triangle given with side AB=6x-9 and BC=2x-5

Required:

We need to find the value of x

Step-by-step explanation:

As we know that, all sides of equilateral triangle are equal

so

`AB=BC`

now substitute the values of AB and BC from given statement

`\begin{gathered} 6x-9=2x-5 \\ 6x-2x=9-5 \\ 4x=4 \\ x=1 \end{gathered}`

Final answer:

x=1