perplexus.info :: Geometry : Two Circles And Maximum Triangle

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

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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.

Comments: ( You must be logged in to post comments.)

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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