Problem B. 4697. (March 2015)

B. 4697. Prove that if a right-angled trapezium has an inscribed circle, then the shorter leg equals the line segment cut out by the legs from the line parallel to the bases, passing through the intersection of the diagonals.

(4 pont)

Deadline expired on April 10, 2015.

Statistics:

97 students sent a solution.
4 points:	85 students.
3 points:	5 students.
2 points:	1 student.
1 point:	3 students.
0 point:	3 students.

Problems in Mathematics of KöMaL, March 2015