1971 AHSME Problems/Problem 9
An uncrossed belt is fitted without slack around two circular pulleys with radii of inches and inches. If the distance between the points of contact of the belt with the pulleys is inches, then the distance between the centers of the pulleys in inches is
(I don't know how to use Asymptote, so if you are a visual learner, I apologize)
Let the center of the smaller circle be and the center of the larger circle be Draw perpendicular radii and The length should equal 24.
From draw a perpendicular line where is the foot of the perpendicular on Line
Points and form a right triangle with legs and We are looking for distance which is
The answer is
-edited by coolmath34