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20.12.2014
OSNOVNE ZNAČAJNE TAČKE
TROUGLA SU:
Centar opisane kružnice
Centar upisane kružnice
Ortocentar
Težište
Centar opisane kružnice
Simetrala duži je skup tačaka u ravni koje su
jednako udaljene od krajnjih tačaka te duži
Simetrale stranica trougla sijeku se u jednoj tački
Centar opisane kružnice (O) je tačka presjeka
simetrala stranica.
Centar upisane kružnice
Simetrala ugla je skup tačaka u ravni koje su jednako
udaljene od pravih koje sadrže krake tog ugla
Simetrale uglova trougla sijeku se u jednoj tački.
Centar upisane kružnice (S) je tačka presjeka
simetrala uglova
Ortocentar
Visina trougla je najkraće rastojanje od tjemena
trougla do prave koja sadrži naspramnu stranicu
trougla
Visine trougla sijeku se u jednoj tački
Ortocentar (H) se nalazi na presjeku visina trougla
ha,hb,hc
Težište
Težišna duž trougla je duž koja spaja tjeme trougla sa
središtem naspramne stranice
Težišne duži trougla sijeku se u jednoj tački
Težište (T) trougla je tačka u kojoj se sijeku težišne
duži trougla
Konstrukcija značajnih tačaka trougla
Na sledećem filmu možete vidjeti kako se konstruišu
četiri navedene značajne tačke trougla:
Link ka filmu
Video priča (link)
Autor: Ivana Radulović
OŠ “Braća Ribar” Nikšić

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Neke značajne tačke trougla

  • 2. OSNOVNE ZNAČAJNE TAČKE TROUGLA SU: Centar opisane kružnice Centar upisane kružnice Ortocentar Težište
  • 3.
  • 4. Centar opisane kružnice Simetrala duži je skup tačaka u ravni koje su jednako udaljene od krajnjih tačaka te duži Simetrale stranica trougla sijeku se u jednoj tački Centar opisane kružnice (O) je tačka presjeka simetrala stranica.
  • 5. Centar upisane kružnice Simetrala ugla je skup tačaka u ravni koje su jednako udaljene od pravih koje sadrže krake tog ugla Simetrale uglova trougla sijeku se u jednoj tački. Centar upisane kružnice (S) je tačka presjeka simetrala uglova
  • 6. Ortocentar Visina trougla je najkraće rastojanje od tjemena trougla do prave koja sadrži naspramnu stranicu trougla Visine trougla sijeku se u jednoj tački Ortocentar (H) se nalazi na presjeku visina trougla ha,hb,hc
  • 7. Težište Težišna duž trougla je duž koja spaja tjeme trougla sa središtem naspramne stranice Težišne duži trougla sijeku se u jednoj tački Težište (T) trougla je tačka u kojoj se sijeku težišne duži trougla
  • 8. Konstrukcija značajnih tačaka trougla Na sledećem filmu možete vidjeti kako se konstruišu četiri navedene značajne tačke trougla: Link ka filmu
  • 10. Autor: Ivana Radulović OŠ “Braća Ribar” Nikšić