Problem C. 1267. (January 2015)

C. 1267. Given a convex angle in the plane and a point \(\displaystyle S\) in its interior, determine the line (e.g. by providing a method of construction) that forms a triangle with the vertex of the given angle such that the centroid of the triangle is the given point.

(5 pont)

Deadline expired on February 10, 2015.

Statistics:

105 students sent a solution.
5 points:	86 students.
4 points:	4 students.
3 points:	1 student.
2 points:	9 students.
1 point:	3 students.
0 point:	2 students.

Problems in Mathematics of KöMaL, January 2015