4
Part of 2008 May Olympiad
Problems(2)
What's the minimum....
Source: May Olympiad(Olimpiada de Mayo)2008
2/2/2018
In the plane we have lines(not parallel and not concurrents), we have point(s) of intersections of this lines.
Sebastian has to paint this points such that in each line all the painted points are with colour differents, find the minimum(quantity) of colour(s) that Sebastian needs to paint this points.
If we have have lines(in this situation we have points), what's the minimum(quantity) of colour(s)?
combinatorics
Medium 2
Source: May Olympiad(Olimpiada de Mayo) 2008
4/25/2018
Let be a right-angled triangle with , a square is externally to the triangle. If , and is the circumcenter of the square , determine the value of
geometrycircumcircle