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.

### 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