If an equilateral triangle has a permiter of 48, what is the length of the perpendicular bisector?(1 point)
Responses
163–√
16 square root of 3
16
16
83–√
8 square root of 3
8
8
The length of the perpendicular bisector of an equilateral triangle can be found using the formula:
Perpendicular bisector length = (sqrt(3) / 2) * side length of the triangle
In this case, the perimeter of the equilateral triangle is given as 48.
Therefore, the side length of the triangle would be 48 / 3 = 16.
Substituting this value into the formula, we get:
Perpendicular bisector length = (sqrt(3) / 2) * 16
Simplifying further:
Perpendicular bisector length = 8 sqrt(3)
So, the correct answer is 8 square root of 3.