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C. 1314. Two sides of a triangle are of unit length and they enclose an angle of $\displaystyle 108^{\circ}$. Inscribe a regular pentagon in the triangle such that three sides of the pentagon lie on the sides of the triangle. How long are the sides of the inscribed pentagon?

(5 points)

This problem is for grade 11 - 12 students only.

Deadline expired on 10 November 2015.

Statistics on problem C. 1314.
 82 students sent a solution. 5 points: 60 students. 4 points: 9 students. 3 points: 3 students. 2 points: 4 students. 1 point: 3 students. 0 point: 2 students. Unfair, not evaluated: 1 solution.

• Problems in Mathematics of KöMaL, October 2015

•  Támogatóink: Morgan Stanley