if an equilateral triangle has a perimeter of 48, what is the length of the perpendiculr bisector of any of its sides
The perimeter of an equilateral triangle is equal to three times the length of its side. Therefore, if the perimeter is 48, the length of each side is 48/3 = 16.
The perpendicular bisector of any side of an equilateral triangle is also the altitude of the triangle. In an equilateral triangle, all altitudes, perpendicular bisectors, and medians are the same length.
So, the length of the perpendicular bisector of any side of the equilateral triangle is also 16.