Question

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

What is the measure of Line segment A B?

Answer 1

Answer:36
`cm`

Explanation:

Given that
`ABC` is isosceles triangle.

A isosceles has two sides equal an the third side is the base.

So,
`AB=BC` ...(i)

Given that length of the base
`AC=24`

Given that the perimeter of the triangle is
`96`

So,
`AB+BC+AC=96` ...(ii)

Using (i) and (ii),

`AB+AB+AC=96\\2AB+24=96\\2AB=72\\AB=36cm`