If an equilateral triangle has a perimeter of 48, what is the length of the perpendicular bisector of any of its sides
8
8
163–√
16 Start Root 3 End Root
16
16
83–√
The length of the perpendicular bisector of any side of an equilateral triangle can be found using the formula:
Length of perpendicular bisector = side length * sqrt(3) / 2
Since the perimeter of the equilateral triangle is 48, each side length would be 48 / 3 = 16.
Plugging this value into the formula, we get:
Length of perpendicular bisector = 16 * sqrt(3) / 2
Simplifying this expression, we get:
Length of perpendicular bisector = 8 * sqrt(3)
So the length of the perpendicular bisector of any side of the equilateral triangle is 8 * sqrt(3).