Use what you know about the relationships in 30-60-90 right triangles to solve the following problem. 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? (1 point)
O 18 inches
O 9 inches
O 18,3 inches
• 36 inches
The perpendicular bisector of any side of an equilateral triangle will divide the triangle into two congruent 30-60-90 right triangles. In a 30-60-90 right triangle, the length of the hypotenuse is twice the length of the shorter leg.
Since the sides of the equilateral triangle are 36 inches long, the length of each shorter leg of the 30-60-90 right triangles will be half of the side length, which is 36/2 = 18 inches.
Therefore, the length of the perpendicular bisector of any side of the equilateral triangle is 18 inches.