Answer:
AC = 26 units
Step-by-step explanation:
Given that,
ABC is an isosceles triangle with vertex angle B such that,
AB = 2x + 10, AC = 2x, and BC = 4x - 16
Two sides of an isosceles triangle are equal. It means that the angles corresponding to the same sides are equal. It means AB = BC
2x + 10 = 4x - 16
2x-4x = -10-16
-2x = -26
x = 13
AC is the base of the traingle.
AC = 2x
AC = 2(13)
AC = 26 units
So, the base of the triangle is equal to 26 units.
