Problem K. 497. (February 2016)
K. 497. In a rightangled triangle \(\displaystyle ABC\), \(\displaystyle BC = 5\) and \(\displaystyle AB = 12\). \(\displaystyle M\) is the intersection of hypotenuse \(\displaystyle AC\) with the arc of radius \(\displaystyle AB\) centred at \(\displaystyle A\), and \(\displaystyle N\) is the intersection of hypotenuse \(\displaystyle AC\) with the arc \(\displaystyle BC\) centred at \(\displaystyle C\). Determine the distance between points \(\displaystyle M\) and \(\displaystyle N\).
(6 pont)
Deadline expired on 10 March 2016.
Statistics:
104 students sent a solution.  
6 points:  85 students. 
5 points:  4 students. 
4 points:  4 students. 
3 points:  7 students. 
2 points:  3 students. 
Unfair, not evaluated:  1 solution. 
