Answer:
[tex]AC=25[/tex]
Step-by-step explanation:
From the given figure, it can be seen that [tex]{\angle}A={\angle}C[/tex], thus ΔABC is an isosceles triangle.
Therefore,[tex]AB=BC[/tex]
⇒[tex]5x+5=7x-1[/tex]
Solving the above equation, we get
⇒[tex]5x-7x=-1-5[/tex]
⇒[tex]-2x=-6[/tex]
⇒[tex]x=3[/tex]
Now, substituting the value of x in AC, we have
⇒[tex]AC=6x+7[/tex]
⇒[tex]AC=6(3)+7[/tex]
⇒[tex]AC=18+7[/tex]
⇒[tex]AC=25[/tex]
Thus, the length of the side AC of the given triangle is 25 units.
