Answer: 36cm
Step-by-step explanation:
An isosceles triangle has 2 sides equal and one different from the other 2. Let's take the segment A C which measures 24cm as the base of our triangle, that means we'll have two equal unknown segments A B and B C. The perimeter of a shape is in simpler terms the distance right round it, therefore, if we add the length of all the three sides of the triangle we should get 96cm.
A C + A B + B C = 96cm
A B = B C
A C = 24cm
96cm - 24cm = 72cm
A B + B C = 72cm
72cm ÷ 2 = 36cm
The length of AB is 36 cm.
An Isosceles triangle ABC has two equal sides.
Let us consider that equal sides AB and CB are x.
Given that, AC = 24cm
Perimeter = AB + CB + AC
[tex]x+x+24=96\\\\2x=96-24=72\\\\x=72/2=36cm[/tex]
Therefore, the length of AB is 36 cm.
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