Respuesta :

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

Explanation:

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

so

[tex]AB=BC[/tex]

now substitute the values of AB and BC from given statement

[tex]\begin{gathered} 6x-9=2x-5 \\ 6x-2x=9-5 \\ 4x=4 \\ x=1 \end{gathered}[/tex]

Final answer:

x=1