Question

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)

Answer 1

Bisecting an equilateral triangle creates a 30-60-90 right triangle with short leg = half the side = 36/2 = 18. In a 30-60-90 triangle the longer leg = short leg × √3, so the perpendicular bisector = 18√3 inches.