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

Question

3 years ago

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rs.
What is the measure of Line segment A B?

1 answer:

Mnenie [13.5K] · Answer 1 · 2022-06-12T09:22:36+03:00

<h2>Answer:36 $cm$ </h2>

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),

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