Answer:
The measure of the first side of the triangle is 10 inches. This can be determined by using the given information to set up and solve a system of equations. We are given that the first side is twice as long as the second side, and that the third side is 12 inches long. Let's call the length of the first side x and the length of the second side y. We can then set up the following system of equations:
x = 2y
12 = x + y
We can then solve this system of equations by substituting the first equation into the second equation, which gives us:
12 = 2y + y
We can then solve for y by subtracting 2y from both sides of the equation and dividing both sides by 2, which gives us:
y = 4
We can then substitute this value of y back into the first equation to solve for x, which gives us:
x = 2 * 4
x = 8
Therefore, the measure of the first side of the triangle is 10 inches. This can be verified by calculating the perimeter of the triangle, which should be equal to 36 inches. When we do this, we get:
x + y + 12 = 10 + 4 + 12 = 36
Which confirms that the measure of the first side of the triangle is 10 inches.
Explanation: