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

36 inches
36 inches

183–√ inches

18 Start Root 3 End Root inches

9 inches

Answer 1

Drop an altitude to split the equilateral triangle into two 30–60–90 triangles. The short leg = half the side = 36/2 = 18, so the long leg (altitude) = 18·√3 = 18√3 inches.

Answer: 18√3 inches.