Okuqukethwe
Kulolu shicilelo, sizocabangela izici eziyisisekelo zokuphakama kunxantathu olinganayo (ovamile). Sizophinde sihlaziye isibonelo sokuxazulula inkinga kulesi sihloko.
Qaphela: unxantathu ubizwa okulinganauma zonke izinhlangothi zalo zilingana.
Izici zobude kunxantathu olinganayo
Impahla 1
Noma yikuphi ukuphakama kunxantathu olinganayo kokubili kuyi-bisector, i-median, kanye ne-perpendicular bisector.
- BD – ukuphakama kwehliselwe eceleni AC;
- BD iyimidiyeni ehlukanisa uhlangothi AC ngesigamu, isb AD = DC;
- BD – i-angle bisector ABC, okungukuthi ∠ABD = ∠CBD;
- BD iyi-median perpendicular to AC.
Impahla 2
Womathathu ama-altitudes kunxantathu olinganayo anobude obufanayo.
AE = BD = CF
Impahla 3
Ubude obukunxantathu olinganayo ku-orthocenter (iphoyinti le-intersection) buhlukaniswa ngesilinganiso esingu-2:1, kubalwa kusukela ku-vertex lapho kuthathwe khona.
- AO = 2OE
- BO = 2OD
- CO = 2OF
Impahla 4
I-orthocenter kanxantathu olinganayo iyisikhungo sendilinga ebhaliwe nesokiwe.
- R iyindawo engaba yindilinga eyisiyingi;
- r iyindawo engaba yindilinga eqoshiwe;
- R = 2r (ilandela kusuka Izakhiwo 3).
Impahla 5
Ubude obukunxantathu olinganayo buwuhlukanisa ube ngonxantathu ababili abalinganayo (indawo elinganayo) abane-engeli yesokudla.
S1 =S2
Ubude obuthathu kunxantathu olinganayo buhlukaniseka ngonxantathu abangakwesokudla bendawo elinganayo.
Impahla 6
Ukwazi ubude bohlangothi lukanxantathu olinganayo, ubude bawo bungabalwa ngefomula:
a luhlangothi lukanxantathu.
Isibonelo senkinga
I-radius yendilinga ezungezwe unxantathu olinganayo ingama-7 cm. Thola uhlangothi lwalo nxantathu.
Isixazululo
Njengoba sazi kusuka izakhiwo 3 и 4, irediyasi yesiyingi esiyindilinga ingu-2/3 wobude bukanxantathu olinganayo (h). Ngenxa yalokho, h = 7 ∶ 2 ⋅ 3 = 10,5 cm.
Manje kusele ukubala ubude bohlangothi lukanxantathu (inkulumo isuselwa kufomula ku Impahla 6):
