Respuesta :

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

1. Let's first find the length of each side of the triangle in inches based on the information we know!

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.

2. Now, let's find x using the information we know!

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. :)