Tse ka Hare
Khatisong ena, re tla nahana ka matlotlo a mantlha a bophahamo ka khutlotharo e lekanang (e tloaelehileng). Re tla boela re hlahlobe mohlala oa ho rarolla bothata tabeng ena.
Hlokomela: khutlotharo e bitsoa equilateralhaeba mahlakore ohle a eona a lekana.
Boemo ba bophahamo ba kgutlotharo e lekanang
Thepa 1
Bophahamo bofe kapa bofe ka hara kgutlotharo e e leka-lekaneng bo na le bisector, median, le perpendicular bisector.
- BD – bophahamo bo theohetseng lehlakoreng AC;
- BD ke bokahare bo arolang lehlakore AC ka halofo, ke hore AD = DC;
- BD – angle bisector ABC, ke hore ∠ABD = ∠CBD;
- BD ke median perpendicular to AC.
Thepa 2
Maemo a mararo kaofela a kgutlotharo e equilateral a na le bolelele bo lekanang.
AE = BD = CF
Thepa 3
Bophahamo ka kgutlotharo e equilateral ho orthocenter (ntlha ea mateano) li arotsoe ka karo-karolelano ea 2: 1, ho baloa ho tloha vertex eo ba huloang ho eona.
- AO = 2OE
- BO = 2OD
- CO = 2OF
Thepa 4
The orthocenter ea kgutlotharo e equilateral ke setsi sa lidikadikwe tse ngotsoeng le circumscribed.
- R ke radius ea selikalikoe se circumscribed;
- r ke radius ea selikalikoe se ngotsoeng;
- R = 2r (e latela ho tloha Thepa 3).
Thepa 5
Bophahamo ba kgutlotharo e equilateral bo e arola ka dikgutlotharo tse pedi tse nang le sebaka se lekanang (sebaka se lekanang)
S1 =S2
Bophahamo bo tharo ho kgutlotharo e equilateral e arola ka dikgutlotharo tse 6 tse nepahetseng tsa sebaka se lekanang.
Thepa 6
Ho tseba bolelele ba lehlakore la khutlo-tharo e lekanang, bophahamo ba eona bo ka baloa ka foromo:
a ke lehlakore la kgutlotharo.
Mohlala oa bothata
Sebaka sa selikalikoe se pota-potileng khutlotharo e lekanang ke 7 cm. Fumana lehlakore la kgutlotharo ena.
tharollo
Joalo ka ha re tseba ho tloha thepa 3 и 4, radius ea selikalikoe se selikalikoe ke 2/3 ea bophahamo ba khutlotharo e lekanang (h). Ka lebaka leo, h = 7 ∶ 2 ⋅ 3 = 10,5 cm.
Hona joale e sala ho bala bolelele ba lehlakore la kgutlotharo (polelo e nkiloe ho foromo ho Thepa 6):
