Problem C. 1253. (November 2014)

C. 1253. Prove that if the measure of each side of a right-angled triangle is an integer, then the area of the triangle formed by the right-angled vertex and the two points dividing the hypotenuse into three equal parts is also an integer.

(5 pont)

Deadline expired on December 10, 2014.

Statistics:

153 students sent a solution.
5 points:	93 students.
4 points:	8 students.
3 points:	14 students.
2 points:	13 students.
1 point:	15 students.
0 point:	6 students.
Unfair, not evaluated:	4 solutionss.

Problems in Mathematics of KöMaL, November 2014