Maximum triangle

Given a circle with center M and any point A.
Find two points B and C on the circle so that triangle ABC has maximum area.  

#0 - No other constraint on B and C
(Of course if A is on the circle, ABC is equilateral...) - Solution - Details

#1 - BC parallel to a given direction (d)
ABC is no more isosceles... - Solution - Details

BC in line with a given point P

#2 - AP tangent in A to circle
Solution - Details

#4 - A and P anywhere on plane
Solution - Details

 

Home Arithmetic Geometric Misc Topics Scripts Games Mail Version Franšaise Previous Next