Question

What is the length of the altitude of an equilateral

triangle whose side has length 4?

A. 2√3
B. 2
c. 4√3
D. 4

Answer 1

A. 2√3.

Explanation:

If we drop a perpendicular line from one of the vertices to the opposite side it will form 2 right angled triangles ( 30 - 60 - 90 degrees).

The ratio of the sides of these triangles is 2:1:√3 where 2 is the hypotenuse and √3 is the altitude.

So here the hypotenuse is 4 (2*2) so the altitude is 2*√3.