A stained glass window is in the shape of an equilateral triangle with sides that are 36 inches long. how long is the perpendicular bisector of any side? the answer is not 40.1
To find the length of the perpendicular bisector of any side in an equilateral triangle, we can make use of the fact that in an equilateral triangle, all sides and angles are congruent.
In an equilateral triangle, the perpendicular bisector of any side is also the altitude (height) of the triangle. Therefore, it can be found using the formula: height = (sqrt(3) / 2) * side length.
In this case, the side length of the equilateral triangle is given as 36 inches. Substituting this value into the formula, we have:
height = (sqrt(3) / 2) * 36
= (1.732 / 2) * 36
= 0.866 * 36
= 31.176
Hence, the length of the perpendicular bisector (height) of any side in the equilateral triangle is approximately 31.176 inches.