Problem C. 1281. (March 2015)
C. 1281. Let \(\displaystyle M\) denote the intersection of the lines of the legs of a trapezium. On a line passing through \(\displaystyle M\) and parallel to the bases, let \(\displaystyle A\) and \(\displaystyle B\) denote the intersections with the extensions of the diagonals. Prove that \(\displaystyle |AM|=|BM|\).
(5 pont)
Deadline expired on April 10, 2015.
Statistics:
85 students sent a solution. 5 points: 57 students. 4 points: 6 students. 3 points: 5 students. 2 points: 8 students. 1 point: 5 students. 0 point: 4 students.
Problems in Mathematics of KöMaL, March 2015