Njirimara ịdị elu nke triangle nha nhata

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.

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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.

Njirimara ịdị elu nke triangle nha nhata

  • 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.

Njirimara ịdị elu nke triangle nha nhata

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.

Njirimara ịdị elu nke triangle nha nhata

  • AO = 2OE
  • BO = 2OD
  • CO = 2OF

Ngwongwo 4

Ọkpụkpụ nke triangle nha nhata bụ etiti okirikiri edere ede na okirikiri.

Njirimara ịdị elu nke triangle nha nhata

  • 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.

Njirimara ịdị elu nke triangle nha nhata

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:

Njirimara ịdị elu nke triangle nha nhata

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):

Njirimara ịdị elu nke triangle nha nhata

Nkume a-aza