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)
Responses

18 inches
18 inches

183–√ inches
18
3

inches

18 Start Root 3 End Root inches

36 inches
36 inches

9 inches

Answer 1

In an equilateral triangle, the altitude is also a perpendicular bisector. Splitting the triangle gives a 30-60-90 right triangle with hypotenuse 36 and short leg 18, so the altitude (long leg) = 18√3.

Answer: 18√3 inches.