The circle x² + y² = 4 intersects the x axis respectively at the points E and F. A different circle with variable radius with its center located at F cuts the former circle at point G located above x axis and intersects the line segment EF at the point H.

Determine the maximum area of the triangle FHG.

(In reply to solution by Charlie)

Thanks Charlie.

I have hyperlinked your methodology in the official solution.

Posted by K Sengupta on 2008-03-07 05:00:42