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 points)

Deadline expired.

Sorry, the solution is published in Hungarian only.

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

Statistics on problem C. 896. 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.