Ihe oyiyi geometric: triangle

N'akwụkwọ a, anyị ga-atụle nkọwa, nhazi na ihe onwunwe nke otu n'ime isi geometric shapes - triangle. Anyị ga-enyochakwa ihe atụ na-edozi nsogbu iji mee ka ihe a na-ewepụta sie ike.

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Nkọwa nke triangle

triangle - Nke a bụ ihe oyiyi geometric na ụgbọ elu, nke nwere akụkụ atọ, nke a na-emepụta site na ijikọta isi atọ na-adịghị agha ụgha n'otu ahịrị kwụ ọtọ. A na-eji akara pụrụ iche maka nhọpụta - △.

Ihe oyiyi geometric: triangle

  • Isi A, B na C bụ verticons nke triangle.
  • Akụkụ AB, BC na AC bụ akụkụ nke triangle, nke a na-egosipụtakarị dị ka otu mkpụrụedemede Latịn. Dịka ọmụmaatụ, AB= a, BC = b, NA = c.
  • Ime ime triangle bụ akụkụ nke ụgbọ elu nke ejiri akụkụ triangle kpuchie ya.

Akụkụ nke triangle dị na vertices na-etolite akụkụ atọ, nke mkpụrụedemede Greek na-egosipụta na omenala - α, β, γ wdg N'ihi nke a, a na-akpọkwa triangle polygon nwere akụkụ atọ.

Enwere ike iji akara pụrụ iche gosipụta akụkụ akụkụ."

  • α - ∠BAC ma ọ bụ ∠CAB
  • β - ∠ABC ma ọ bụ ∠CBA
  • γ - ∠ACB ma ọ bụ ∠BCA

Nhazi triangle

Dabere n'ogo nke akụkụ ma ọ bụ ọnụ ọgụgụ nke nha nha, ụdị ọnụ ọgụgụ ndị a dị iche:

1. nnukwu-akuku – triangle nwere akụkụ atọ niile dị nnukwu, ya bụ ihe na-erughị 90°.

Ihe oyiyi geometric: triangle

2. iju Triangle nke otu akụkụ n'ime ya karịrị 90°. Akụkụ abụọ nke ọzọ dị nnukwu.

Ihe oyiyi geometric: triangle

3. akụkụ anọ – triangle nke otu akụkụ ziri ezi, ya bụ nhata 90°. N'ọnụọgụ dị otú ahụ, akụkụ abụọ nke na-etolite n'akụkụ aka nri ka a na-akpọ ụkwụ (AB na AC). Akụkụ nke atọ chere ihu n'akụkụ aka nri bụ hypotenuse (BC).

Ihe oyiyi geometric: triangle

4. vasatail A triangle nke akụkụ niile nwere ogologo dị iche iche.

Ihe oyiyi geometric: triangle

5. Isosceles - triangle nwere akụkụ abụọ hà nhata, nke a na-akpọ mpụta (AB na BC). Akụkụ nke atọ bụ ntọala (AC). N'ọnụọgụ a, akụkụ ntọala ha nhata (∠BAC = ∠BCA).

Ihe oyiyi geometric: triangle

6. Equilateral (ma ọ bụ nke ziri ezi) A triangle nke akụkụ niile bụ otu ogologo. Ọzọkwa akụkụ ya niile bụ 60°.

Ihe oyiyi geometric: triangle

Njirimara Triangle

1. Ihe ọ bụla n'akụkụ nke triangle bụ ihe na-erughị abụọ ndị ọzọ, ma dị ukwuu karịa ọdịiche ha. Maka ịdị mma, anyị na-anabata aha ọkọlọtọ nke akụkụ - a, b и с… Mgbe ahụ:

b - c <a <b+cAt b > c

A na-eji akụrụngwa a nwalee akụkụ ahịrị iji hụ ma ha nwere ike ịmepụta triangle.

2. Nchikota nke akụkụ nke triangle ọ bụla bụ 180 °. Ọ na-esite na ihe onwunwe a na n'ime triangle obtuse akụkụ abụọ na-adịwanye njọ mgbe niile.

3. N'ime triangle ọ bụla, enwere akụkụ buru ibu na-emegide akụkụ buru ibu, na nke ọzọ.

Ihe atụ nke ọrụ

Ọrụ 1

Enwere akụkụ abụọ amaara na triangle, 32° na 56°. Chọta uru nke akụkụ nke atọ.

ngwọta

Ka anyị were akụkụ a maara dị ka α (32°) na β (56°), na ihe na-amaghị - n'azụ γ.

Dị ka ihe onwunwe si dị gbasara nchikota akụkụ niile, a + b+c = 180 Celsius.

N'ihi ya, γ = 180 Celsius a - b = 180 Celsius – 32 Celsius – 56 Celsius = 92 Celsius.

Ọrụ 2

Enyere akụkụ atọ nke ogologo 4, 8 na 11. Chọpụta ma ha nwere ike ịmepụta triangle.

ngwọta

Ka anyị depụta ahaghị nhata maka akụkụ ọ bụla enyere, dabere n'ihe a tụlere n'elu:

11 - 4 <8 <11 + 4
8 - 4 <11 <8 + 4
11 - 8 <4 <11 + 8

Ha niile ziri ezi, yabụ, akụkụ ndị a nwere ike ịbụ akụkụ nke triangle.

Nkume a-aza