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In an equilateral triangle, all 3 sides are equal length, and the perimeter of an equilateral triangle is 3 times the length of one side. If one side measures 9 + 3x, and the measure of another side is 5x – 5, what is the perimeter of the equilateral triangle?

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Answer:

The perimeter of the equilateral triangle is 90 units.

Step-by-step explanation:

Let the side of the triangle be = s

So, perimeter of equilateral triangle = [tex]s+s+s=3s[/tex]

One side measures 9+3x and the measure of another side is 5x-5.

Both are equal, so we get the sides as:

[tex]9+3x=5x-5[/tex]

[tex]3x-5x=-5-9[/tex]

[tex]-2x=-14[/tex]

x = 7

We get the sides as :

First side [tex]9+3(7)[/tex]

= 30

OR

Second side [tex]5(7)-5[/tex]

= 30

And the third side will also be 30 as it is equilateral triangle.

Hence, the perimeter is = [tex]30+30+30=90[/tex] units

Therefore, the perimeter of the equilateral triangle is 90 units.

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