if an equilateral triangle has a perimeter of 48, what is the length of the perpendiculr bisector of any of its sides
Since an equilateral triangle has three equal sides, the length of each side would be 48/3 = 16.
The perpendicular bisector of any side of an equilateral triangle would pass through its midpoint and form a right angle with the side.
The length of the perpendicular bisector can be found using the Pythagorean theorem.
The length of the perpendicular bisector = √(16^2 - (16/2)^2) = √(16^2 - 8^2) = √(256 - 64) = √192 = 8√3.
Therefore, the length of the perpendicular bisector of any side of an equilateral triangle with a perimeter of 48 is 8√3.