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Friday, January 18, 2008

Triangle problems

This is a very tricky problem:
1.Triangle ABC is given.Divide it by a broken line BDEFG into 5 triangles of equal area.
This one is from MathBattle:
2.Point E is given on the diameter AC of the circle.Draw a chord BD through E in such way that an area of the quadrilateral ABCD is maximal.
3.Find the maximal area of the right-angled triangle.

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