Mukati
Muchinyorwa chino, tichatarisa zvakakosha zvehurefu mune equilateral (regular) triangle. Tichaongorora zvakare muenzaniso wekugadzirisa dambudziko pane iyi nyaya.
Cherechedza: triangle inonzi equilateralkana mativi ayo ose akaenzana.
Hurefu hwemakona ari equilateral triangle
Chivakwa 1
Chero hurefu hwegonyonhatu dzakaenzana zvese zviri zviviri bisector, median, uye perpendicular bisector.
- BD - kureba kwakadzikiswa kudivi AC;
- BD ndiye mupendero unoparadzanisa rutivi AC muhafu, kureva AD = DC;
- BD – angle bisector ABC, kureva ∠ABD = ∠CBD;
- BD ndiyo yepakati perpendicular to AC.
Chivakwa 2
Ese matatu maaltitudes ari equilateral triangle ane hurefu hwakafanana.
AE = BD = CF
Chivakwa 3
Nzvimbo dzakakwirira mugonyonhatu dzakaenzana pane orthocenter (poindi yemharadzano) dzakakamurwa mureshiyo ye2: 1, kuverenga kubva kune vertex kwadzinotorwa.
- AO = 2OE
- BO = 2OD
- CO = 2OF
Chivakwa 4
The orthocenter of an equilateral triangle ndiyo pakati pemadenderedzwa akanyorwa uye akatenderedzwa.
- R ndiyo radius yedenderedzwa rakatenderedzwa;
- r ndiyo radius yedenderedzwa rakanyorwa;
- R = 2r (inotevera kubva Properties 3).
Chivakwa 5
Hurefu hwegonyonhatu dzakaenzana hunoipatsanura kuita makona matatu akaenzana-akaenzana (equal-area) ane kona yekurudyi.
S1 =S2
Hurefu hutatu mugonyonhatu yakaenzana mopatsanura kuita makona matatu ekurudyi enzvimbo yakaenzana.
Chivakwa 6
Kuziva kureba kwedivi reequilateral triangle, kureba kwayo kunogona kuverengerwa neformula:
a ndiro divi regonyonhatu.
Muenzaniso wedambudziko
Nharaunda yedenderedzwa yakatenderedzwa negonyo yakaenzana i7cm. Wana divi rekona iyi.
mhinduro
Sezvatinoziva kubva zvivakwa 3 и 4, radius yedenderedzwa yakatenderedzwa i 2/3 yehurefu hweequilateral triangle (h) Naizvozvo, h = 7 ∶ 2 ⋅ 3 = 10,5 cm.
Ikozvino chasara kuverenga kureba kwedivi retatu (iyo chirevo chinotorwa kubva kuformula in Chivakwa 6):
