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If ARST is an equilateral triangle, find x and the measure of each side.

If ARST is an equilateral triangle, find x and the measure of each side.-example-1

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An equilateral triangle has all 3 sides the same length.

Set two of the sides to equal each other and solve for X, then you can calculate the length of the sides.

12x - 22 = 10x - 6

Add 22 to both sides:

12x = 10x + 16

Subtract 10x from both sides:

2x = 16

Divide both sides by 2:

x = 8

Now you know x, solve for the side length:

12x - 22 = 12(8) - 22 = 96-22 = 74

10x-6 - 10(8) - 6 = 80 -6 = 74

7x +18 = 7(8) +18 = 56+18 = 74

Each side is 74 units.

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