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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 on 15 May 2007.

Google Translation (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.

  • Problems in Mathematics of KöMaL, April 2007

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