The perimeter of an isosceles triangle is 180 inches. The length of each leg of the triangle is twice the length of the base.
Which equation can be used to determine x, the length of the base in inches?
Let x be the length of the base in inches. Since the length of each leg is twice the length of the base, each leg has a length of 2x inches.
The perimeter of the triangle is the sum of the lengths of all three sides, so we have:
x + 2x + 2x = 180
Simplify the equation:
5x = 180
Divide both sides by 5:
x = 36
Therefore, the equation that can be used to determine x, the length of the base in inches, is:
x = 36