ọdịnaya
N'akwụkwọ a, anyị ga-atụle ihe ndị bụ isi nke ịdị elu na triangle equilateral (mgbe niile). Anyị ga-enyochakwa ihe atụ nke idozi nsogbu na isiokwu a.
Cheta na: a na-akpọ triangle nhaziọ bụrụ na akụkụ ya niile hà nhata.
Njirimara ịdị elu na triangle nha nhata
Ngwongwo 1
Ogo ọ bụla dị n'ime triangle nha nhata bụ ma bisector, median na bisector perpendicular.
- BD - elu gbadara n'akụkụ AC;
- BD bụ etiti na-ekewa akụkụ AC na ọkara, ya bụ AD = DC;
- BD - akụkụ bisector ABC, ya bụ ∠ABD = ∠CBD;
- BD bụ etiti perpendicular ka AC.
Ngwongwo 2
Elu atọ niile dị na triangle nhata nwere otu ogologo.
AE = BD = CF
Ngwongwo 3
A na-ekewa elu dị na triangle equilateral na orthocenter (ebe nkwụsịtụ) na nha nke 2: 1, na-agụta site na vertex nke a na-adọta ha.
- AO = 2OE
- BO = 2OD
- CO = 2OF
Ngwongwo 4
Ọkpụkpụ nke triangle nha nhata bụ etiti okirikiri edere ede na okirikiri.
- R bụ radius gburugburu gburugburu;
- r bụ radius nke gburugburu e dere;
- R = 2r ( na-esote si Ngwongwo 3).
Ngwongwo 5
Ogo dị na triangle nha nhata na-ekewa ya na mpaghara abụọ nhata (mpaghara nhata) triangles aka nri.
S1 =S2
Ebe dị elu atọ n'ime triangle nha nhata kewaa ya n'ime triangles aka nri isii nke nha nhata.
Ngwongwo 6
N'ịmara ogologo akụkụ nke triangle equilateral, ịdị elu ya nwere ike gbakọọ site na usoro:
a bụ akụkụ nke triangle.
Ọmụmaatụ nke nsogbu
Oghere nke okirikiri gbara gburugburu triangle nha nhata bụ 7 cm. Chọta akụkụ nke triangle a.
ngwọta
Dị ka anyị si mara Njirimara 3 и 4, radius nke okirikiri gbara okirikiri bụ 2/3 nke ịdị elu nke triangle equilateral (h). N'ihi ya, h = 7 ∶ 2 ⋅ 3 = 10,5 cm.
Ugbu a ọ ka dị ka ịgbakọ ogologo akụkụ nke triangle (okwu a sitere na usoro n'ime Ngwongwo 6):