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Area of hexagon... (Posted on 2013-04-06) Difficulty: 2 of 5
Let triangle ABC be an acute angle triangle. The circumcircle of triangle ABC is drawn.

Let X, Y, Z be the midpoints of the minor arcs of AB, BC, CA respectively. Prove that the area of hexagon AXBYCZ is at least twice the area of triangle ABC.

Is this also true when X, Y, Z are any points on the minor arcs, without being the midpoints?

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
A start.Jer2013-04-09 15:29:03
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