Problem C. 1319. (November 2015)

C. 1319. The midpoints of the sides of a quadrilateral form a square. The area of the quadrilateral is 50, and two opposite sides are 5 and \(\displaystyle \sqrt{85}\,\). How long are the other two sides?

(5 pont)

Deadline expired on December 10, 2015.

Statistics:

128 students sent a solution.
5 points:	69 students.
4 points:	19 students.
3 points:	5 students.
2 points:	5 students.
1 point:	6 students.
0 point:	23 students.
Unfair, not evaluated:	1 solutions.

Problems in Mathematics of KöMaL, November 2015