A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter is 19 inches.

What is the measure of x?

1 answer

We can start by using the distributive property to add up the lengths of all three sides:

Perimeter = x + (x-4) + (x-4)

Simplifying this expression, we get:

Perimeter = 3x - 8

We know that the perimeter is 19 inches, so we can set up an equation:

3x - 8 = 19

Adding 8 to both sides, we get:

3x = 27

Dividing by 3, we find:

x = 9

Therefore, the measure of x is 9 inches.