The perimeter of an equilateral triangle is 96 inches. If the length of each side is (2x + 6), find the value of x.

An equilateral triangle has three equal sides. Let's try to first find the actual value of each side of the triangle!

96 inches is the perimeter of the triangle. The triangle has three equal sides. We can find the length of each side by dividing 96 inches by 3!

96 / 3 = 31 inches

The length of each side in the equilateral triangle is 31 inches.

We know that the length of each side is 2x + 6, and we previously found that the length of each side in the equilateral triangle is 31 inches. We are trying to find x, so we can create an equation and isolate x!

31 = 2x + 6

-6    -6

25 = 2x

÷2     ÷2

12.5 = x

Yay, we just found x! That's the answer! Feel free to ask any questions if you need help. I'm not here to judge; I'm here to help. :)

(10,5) and (0,5)

Step-by-step explanation: