« Vrati se
A point M is chosen on the side AC of the triangle ABC in such a way that the radii of the circles inscribed in the triangles ABM and BMC are equal. Prove that
BM^{2} = X \cot \left( \frac {B}{2}\right)
where X is the area of triangle ABC.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1730IMO Shortlist 1988 problem 230
1722IMO Shortlist 1988 problem 150
1710IMO Shortlist 1988 problem 30
1678IMO Shortlist 1986 problem 150
1677IMO Shortlist 1986 problem 141
1662IMO Shortlist 1985 problem 211