Answer:
[tex]AC=25\ units[/tex]
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal interior angles
In this problem
The triangle ABC is an isosceles triangle, because
m∠A=m∠C
therefore
AB=BC
substitute the given values
[tex]5x+5=7x-1[/tex]
solve for x
[tex]7x-5x=5+1[/tex]
[tex]2x=6[/tex]
[tex]x=3[/tex]
Find the length of side AC
[tex]AC=6x+7[/tex]
substitute the value of x
[tex]AC=6(3)+7[/tex]
[tex]AC=25\ units[/tex]
