Tse ka Hare
Sehloohong sena, re tla hlahloba tlhaloso le thepa ea kgutlotharo e lekanang (e tloaelehileng). Re tla boela re sekaseke mohlala oa ho rarolla bothata ho kopanya litaba tsa theory.
Tlhaloso ea khutlotharo e lekanang
E lekanang (kapa E nepahetse) e bitsoa kgutlotharo eo mahlakore ohle a nang le bolelele bo lekanang. Tseo. AB = BC = AC.
Hlokomela: Polygon e tloaelehileng ke poligone e khoho e nang le mahlakore a lekanang le li-angles lipakeng tsa tsona.
Thepa ea khutlotharo e lekanang
Thepa 1
Ho kgutlotharo e equilateral, dikgutlo tsohle di 60°. Tseo. α = β = γ = 60°.
Thepa 2
Ho kgutlotharo e equilateral, bophahamo bo huleloang ka mahlakoreng a mabeli ke bobeli ba kgutlotharo eo e hutsweng ho yona, hammoho le karolo e bohareng le e tshekaletseng.
CD – bohareng, bophahamo le perpendicular bisector ho lehlakoreng AB, hammoho le angle bisector ACB.
- CD e shebahalang hantle AB => ∠ADC = ∠BDC = 90°
- AD = DB
- ∠ACD = ∠DCB = 30°
Thepa 3
Ho kgutlotharo e equilateral, li-bisectors, medians, heights le perpendicular bisectors tse huleloang ka mahlakoreng 'ohle li kopana sebakeng se le seng.
Thepa 4
Litsi tsa selikalikoe tse ngotsoeng le tse pota-potiloeng ho pota-pota khutlo-tharo e lekanang 'me li mateanong a li-medians, bophahamo, li-bisectors le li-perpendicular bisectors.
Thepa 5
Radiase ea selikalikoe se pota-potileng khutlotharo e lekanang ke makhetlo a 2 radius ea selikalikoe se ngotsoeng.
- R ke radius ea selikalikoe se circumscribed;
- r ke radius ea selikalikoe se ngotsoeng;
- R = 2r.
Thepa 6
Ho kgutlotharo e equilateral, ho tseba bolelele ba lehlakore (re tla e nka joalo ka maemo “ho”), re ka bala:
1. Bophahamo/bohare/bohare:
2. Radius ea selikalikoe se ngotsoeng:
3. Radius ea selikalikoe se potolohileng:
4. Perimitha:
5. Sebaka:
Mohlala oa bothata
Ho fanoe ka kgutlotharo e equilateral, eo lehlakore la eona e leng 7 cm. Fumana radius ea selikalikoe se potolohileng le se ngotsoeng, hammoho le bophahamo ba setšoantšo.
tharollo
Re sebelisa mekhoa e fanoeng ka holimo ho fumana bongata bo sa tsejoeng:
