What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other 2 vertices on the circle?
The answer is 1/2. The only way I can get the answer is by taking the derivative of the area equation and setting to 0 to find the length of the base, but this takes a bit of time, and I don't think the GMAT requires calculus. Is there a quicker/easier way?
Well, i dunno if this is correct, but if we make the diameter equal to 2 and say this is one side of the triangle we have an area of 1. 2= base 1= height.
2*1/2 but since this changes the vertex from the center to two sides and a vertex directly in the middle.
Half of this is 1/2.... man i really dunno.