Državno natjecanje 2000 SŠ2 2
Dodao/la:
arhiva1. travnja 2012. Nad stranicama

i

šiljastokutnog trokuta

s vanjske strane konstruiraju se kvadrat

i

. Dokažite da se pravci

i
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sijeku na visini iz vrha

trokuta

.
%V0
Nad stranicama $\overline{AC}$ i $\overline{BC}$ šiljastokutnog trokuta $ABC$ s vanjske strane konstruiraju se kvadrat $ACXE$ i $CBDY$. Dokažite da se pravci $AD$ i $BE$ sijeku na visini iz vrha $C$ trokuta $ABC$.
Izvor: Državno natjecanje iz matematike 2000