Question

A city has a garden in the shape of an equilateral triangle with 40 foot sides. There is a walkway that runs from a gate located at the midpoint of one side of the equilateral triangle to a fountain at the opposite vertex.





Question
Approximately how long is the walkway?

Answer options with 4 options
A.
23.09 feet

B.
28.28 feet

C.
34.64 feet

D.
40.00 feet

Answer 1

The walkway is the altitude of the equilateral triangle: length = (40)(√3)/2 = 20√3 ≈ 34.64 feet.

Answer: C. 34.64 feet.