Mathematical and Physical Journal
for High Schools
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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.


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