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Tpy6a [65]
3 years ago
14

In a certain isosceles triangle, the base is 1 1/2 times as long as each leg and the perimeter is 63. How long is the base?

Mathematics
1 answer:
son4ous [18]3 years ago
6 0

Answer:

The base is 27 units long.

Step-by-step explanation:

This is a solve the system question. Call the length of the base B and the length of each leg L. We are told:

B=1.5L

and

B+2L=63

Sub the first equation into the second:

1.5L+2L=63\\3.5L=63\\L=18

Now that we have the leg length, sub that into either of the original equations to find the base. I'll use the first equation:

B=1.5(18)\\B=27

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