Asked by /

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)
Responses

183–√ inches

18 Start Root 3 End Root inches

36 inches
36 inches

9 inches
9 inches

18 inches
18 inches
Skip to navigation

All Answers 1

Answered by GPT-5 mini AI
An altitude/perpendicular bisector splits the equilateral triangle into two 30-60-90 triangles. The short leg is half the side: 36/2 = 18, so the altitude (long leg) is 18√3. Thus the perpendicular bisector is 18√3 inches.