Question

What is the length of side AC of the triangle? Enter your answers in the boxes.

Answer 1

Answer:

$AC=25$

Step-by-step 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.