bluetopurple18 bluetopurple18

23-05-2020
Mathematics

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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?

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sciguy101 sciguy101

23-05-2020

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:

[tex]B=1.5L[/tex]

and

[tex]B+2L=63[/tex]

Sub the first equation into the second:

[tex]1.5L+2L=63\\3.5L=63\\L=18[/tex]

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:

[tex]B=1.5(18)\\B=27[/tex]

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