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babymother [125]
3 years ago
5

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

rs.
What is the measure of Line segment A B?
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0
<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

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<h3>What is the Law of Cosines and Sines?</h3>

Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]

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