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Digiron [165]
3 years ago
15

the ratio of one side of abc to the corresponding side of similar def is 5:8. if the perimeter of def is 96 inches, what is the

perimeter of abc?
Mathematics
1 answer:
vivado [14]3 years ago
6 0

Answer:

Perimeter of abc is 60 inches.

Step-by-step explanation:

The ratio of one side of triangle abc to the corresponding side of similar triangle def is 5:8.

Now we are given that the perimeter of def is 96 inches.

since the perimeter is the sum of all the sides of a triangle.

<em>" If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b" .</em>

Here we have a=5 and b=8.

Hence by the above statement we could say that:

Let Perimeter of abc be denoted by "P"

Perimeter of abc : Perimeter of def=5:8

⇒  \dfrac{P}{96}=\dfrac{5}{8}\\\\P=\dfrac{5\times96}{8}\\\\P=60

Hence the Perimeter of abc is 60 inches.

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