Question

A)
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. Howlong is the perpendicular bisector of any side?
(1 point)
9 inches
18 inches 3
–
√
36 inches
18 inches

Answer 1

Draw the altitude — it splits the equilateral triangle into two 30-60-90 right triangles. In such a triangle the sides are x, x√3, 2x. Here 2x = 36 so x = 18, and the altitude = x√3 = 18√3 inches.