# The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. How do you find the original length of each side of the equilateral triangle?

The original sides were 15 inches.

#### Explanation:

Each side of an equilateral triangle starts with length $x$. They are all extended by 5 inches (so now each side is $x + 5$ and the sum of all three sides together is 60. So we have:

$3 \left(x + 5\right) = 60$

$3 x + 15 = 60$

$3 x = 45$

$x = 15$

The original sides were 15 inches.