Question

Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters.

What is the measure of ?

12 cm
36 cm
48 cm
72 cm

Answer 1

The measure of length of equal side is 36 cm each.

B is correct.

Explanation:

Isosceles triangle ABC has a perimeter of 96 centimeters.

The base of the triangle is BC and measures 24 cm

We need to find the length of equal side of triangle.

AB=AC

The perimeter of triangle is 96 cm

AB + AC + BC = 96

AB + AB + 24 = 96 ( ∵ AB=AC)

2AB = 96-24

2AB = 72

AB = 36

Hence, The measure of length of equal side is 36 cm each.