Mukati
Muchinyorwa chino, tichaona tsananguro uye zvimiro zveequilateral (regular) triangle. Isu tichaongorora zvakare muenzaniso wekugadzirisa dambudziko rekubatanidza iyo theoretical material.
Tsanangudzo yegonyonhatu yakaenzana
Zvakaenzana (kana zvechokwadi) inodaidzwa kuti gonyonhatu umo mativi ese ane hurefu hwakafanana. Avo. AB = BC = AC.
Cherechedza: Gorigoni yakajairika igonyo guru rine mativi nemakona akaenzana pakati pawo.
Zvimiro zveequilateral triangle
Chivakwa 1
Mune gonyonhatu yakaenzana, makona ese ari 60°. Avo. α = β = γ = 60°.
Chivakwa 2
Mune gonyonhatu yakaenzana, kureba kunokweverwa kune mativi ese ari maviri bisector yekona kwainodhonzwa, pamwe nepakati nepakati uye perpendicular bisector.
CD - yepakati, kureba uye perpendicular bisector kudivi AB, pamwe chete nekona bisector ACB.
- CD perpendicular AB => ∠ADC = ∠BDC = 90°
- AD = DB
- ∠ACD = ∠DCB = 30°
Chivakwa 3
Mune gonyonhatu yakaenzana, bisectors, medians, urefu uye perpendicular bisectors inokweverwa kumativi ese inopindirana pane imwe nzvimbo.
Chivakwa 4
Nzvimbo dzepakati dzemadenderedzwa akanyorwa uye akatenderedzwa akatenderedza equilateral triangle anopindirana uye ari pamharadzano yepakati, kureba, bisectors uye perpendicular bisectors.
Chivakwa 5
Radhiyasi yedenderedzwa rakatenderedzwa rakatenderedza gonyonhatu yakaenzana inosvika ka 2 paradius yedenderedzwa rakanyorwa.
- R ndiyo radius yedenderedzwa rakatenderedzwa;
- r ndiyo radius yedenderedzwa rakanyorwa;
- R = 2r.
Chivakwa 6
Mune equilateral triangle, tichiziva kureba kwedivi (isu tichazvitora semamiriro ezvinhu “Ku”), tinogona kuverenga:
1. Hurefu/median/bisector:
2. Radhiyasi yedenderedzwa rakanyorwa:
3. Radhiyasi yedenderedzwa rakatenderedzwa:
4. Perimeter:
5. Nharaunda:
Muenzaniso wedambudziko
A equilateral triangle anopiwa, rutivi rwayo 7 cm. Tsvaga radius yedenderedzwa rakanyorwa uye rakanyorwa, pamwe nekukwirira kwechimiro.
mhinduro
Isu tinoshandisa mafomula akapihwa pamusoro kuti tiwane huwandu husingazivikanwe: