Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is line segment AC and measures 24 centimeters. What is the measure of line segment AB ?

The perimeter is the sum of all three sides: AB + BC + AC = 96 cm. Since AC is the 24 cm base, the two equal sides together measure 96 − 24 = 72 cm. Each equal side is 72 ÷ 2 = 36 cm, so AB measures 36 cm, choice D.

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