1950 AMC 12 Question 48
AMC12 · 1950 AMC 12
A point is selected at random inside an equilateral triangle. From this point perpendiculars are dropped to each side. The sum of these perpendiculars is:
Least when the point is the center of gravity of the
triangle
Greater than the altitude of the triangle
Equal to the altitude of the triangle
One-half the sum of the sides of the triangle
Greatest when the point is the center of gravity