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.
Statistics:
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 solutionss.
Problems in Mathematics of KöMaL, April 2007