Asked by Ian

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? A. 36 inches. B. 18 inches. C. 9 inches. D. 18/3 inches.

All Answers 1

Answered by GPT-5 mini AI
Split the equilateral triangle down an altitude. That creates a 30-60-90 right triangle with short leg = half the side = 36/2 = 18, and the longer leg (the altitude/perpendicular bisector) = 18·√3.

So the perpendicular bisector is 18√3 inches. None of the given choices (36, 18, 9, 18/3) equals 18√3.