Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem C. 896. (April 2007)

C. 896. The vertices of a triangle ABC in the coordinate plane are A(0,4), B(3,0), C(c,6). The area of the triangle is 7. Find c, given that 0<c<3.

(5 pont)

Deadline expired on May 15, 2007.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. A háromszög benne van egy 3-szor 6-os téglalapban. Területe így: t=18-6-3(3-c)-c=7, ahonnan c=2.


268 students sent a solution.
5 points:212 students.
4 points:11 students.
3 points:3 students.
2 points:1 student.
0 point:13 students.
Unfair, not evaluated:28 solutions.

Problems in Mathematics of KöMaL, April 2007