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lina2011 [118]
3 years ago
10

An isosceles triangle has a perimeter of 36 inches. Its base is 2 1 /2 times longer than each of its legs. What are the lengths

of the sides of the triangle?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

Answer:

8 in, 8 in and 20 in

Step-by-step explanation:

Let the equal sides of the isosceles triangle be x, then

The base = 2.5x

Sum the 3 sides and equate to the perimeter of 36

x + x + 2.5x = 36

4.5x = 36 ( divide both sides by 4.5 )

x = 8

Thus the 2 equal legs = 8 in

base = 2.5x = 2.5 × 8 = 20 in

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Masteriza [31]
You have one of the answers correct. The fraction 4/8 is equal to 1/2

Other answers are: 5/10, 10/20, and 6/12

If you reduced each of those fractions, you'd get to 1/2. 

You can use a calculator to find that
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1/2 = 0.5
5/10 = 0.5
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All fractions mentioned lead to the same decimal value, so this confirms all of the fractions are equivalent to one another.
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<u><em>Given:</em></u>

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