The measures of two of the
sides of an equilateral triangle
are 3x + 15 in. and 7x – 5 in.
What is the measure of the third
side in inches?
(1 point)
5
1
18
30
To find the measure of the third side of an equilateral triangle, we know that all three sides are equal in length. Therefore, we can set the given sides equal to each other:
3x + 15 = 7x - 5
Now, solve for x:
3x + 15 = 7x - 5
Add 5 to both sides:
3x + 20 = 7x
Subtract 3x from both sides:
20 = 4x
Divide by 4:
x = 5
Now that we have found the value of x, we can plug it back into one of the given side lengths to find the measure of the third side:
3x + 15
= 3(5) + 15
= 15 + 15
= 30
Therefore, the measure of the third side of the equilateral triangle is 30 inches.