IMO Shortlist 1976 problem 3
Dodao/la:
arhiva2. travnja 2012. In a convex quadrilateral (in the plane) with the area of
![32 \text{ cm}^{2}](/media/m/d/a/e/dae1545d2bb9b386e8354cf1a7e04b7f.png)
the sum of two opposite sides and a diagonal is
![16 \text{ cm}](/media/m/4/3/9/4395f710178b328064b1d51783208c9f.png)
. Determine all the possible values that the other diagonal can have.
%V0
In a convex quadrilateral (in the plane) with the area of $32 \text{ cm}^{2}$ the sum of two opposite sides and a diagonal is $16 \text{ cm}$. Determine all the possible values that the other diagonal can have.
Izvor: Međunarodna matematička olimpijada, shortlist 1976