Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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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.


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