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 Two Circles And Maximum Triangle (Posted on 2008-01-11)
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.

 Submitted by K Sengupta No Rating Solution: (Hide) The required maximum area of the triangle FHG is 16*√3/9 ~= 3.0792014356780040773821268293438 EXPLANATION: Please refer to the respective solutions submitted by : (i) Bractals in this location. (ii) Charlie in this location. (iii) Praneeth in this location.

 Subject Author Date re: Solution K Sengupta 2008-03-07 05:02:01 re: solution K Sengupta 2008-03-07 05:00:42 re: Solution K Sengupta 2008-03-07 04:59:38 Solution Praneeth 2008-01-22 05:38:24 solution Charlie 2008-01-11 13:22:04 Solution Bractals 2008-01-11 12:33:02

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