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 $cm$

Step-by-step 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),

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