Question

What is the length of side AC of the triangle?

Enter your answers in the boxes.

Answer 1

`AC=25`

Explanation:

From the given figure, it can be seen that
`{\angle}A={\angle}C`, thus ΔABC is an isosceles triangle.

Therefore,
`AB=BC`

⇒
`5x+5=7x-1`

Solving the above equation, we get

⇒
`5x-7x=-1-5`

⇒
`-2x=-6`

⇒
`x=3`

Now, substituting the value of x in AC, we have

⇒
`AC=6x+7`

⇒
`AC=6(3)+7`

⇒
`AC=18+7`

⇒
`AC=25`

Thus, the length of the side AC of the given triangle is 25 units.