Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem C. 1314. (October 2015)

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 pont)

Deadline expired on November 10, 2015.

Statistics:

 81 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.

Problems in Mathematics of KöMaL, October 2015