September 1997

You are given a rectangle OABC from which you remove three right-angled triangles leaving a fourth triangle OPQ as shown in the diagram below.

How must you position the points P and Q so that the area of each of the three **removed** triangles is the same? That is, what are the ratios AP:PB and CQ:QB?

## Solution

So how do you get the answer??? I'm confused!!