The length of each side of an equilateral triangle is 29 centimeters. Find the altitude of the triangle. Round your answer to the nearest tenth of a centimeter.
A)25.1 centimeters
B)12.6 centimeters
C)20.5 centimeters
D)41 centimeters
E)50.2 centimeters

Question

Quizplus · Accepted Answer

The altitude of an equilateral triangle is the height from the base to the midpoint of the opposite side. The altitude of an equilateral triangle with side length s is given by the formula h = (√3/2)s. Substituting s = 29 cm, we get h = (√3/2)29 ≈ 25.1 cm.

The Length of Each Side of an Equilateral Triangle Is