Županijsko natjecanje 2008 SŠ2 3
Dodao/la:
arhiva1. travnja 2012. Duljine stranica trokuta su

,

i

, a veličine kutova nasuprot stranica duljina

i

su

i

. Dokaži jednakost
%V0
Duljine stranica trokuta su $a$, $b$ i $c$, a veličine kutova nasuprot stranica duljina $b$ i $c$ su $\beta =50^\circ $ i $\gamma=100^\circ $. Dokaži jednakost $$
ab=c^2-b^2.
$$
Izvor: Županijsko natjecanje iz matematike 2008