contestada

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?

Respuesta :

Answer:36 [tex]cm[/tex]

Step-by-step explanation:

Given that [tex]ABC[/tex] is isosceles triangle.

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

So,[tex]AB=BC[/tex]                        ...(i)

Given that length of the base [tex]AC=24[/tex]

Given that the perimeter of the triangle is [tex]96[/tex]

So,[tex]AB+BC+AC=96[/tex]          ...(ii)

Using (i) and (ii),

[tex]AB+AB+AC=96\\2AB+24=96\\2AB=72\\AB=36cm[/tex]

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