Theorem nke Triangle Outer Angle: Nkwupụta na Nsogbu

N'akwụkwọ a, anyị ga-atụle otu n'ime isi ihe ndị dị na klaasị 7 geometry - gbasara akụkụ mpụta nke triangle. Anyị ga-enyochakwa ihe atụ nke idozi nsogbu iji mee ka ihe a na-ekwu na-achịkọta ọnụ.

Nkọwa nke akụkụ dị n'èzí

Nke mbụ, ka anyị cheta ihe nkuku mpụga bụ. Ka anyị kwuo na anyị nwere triangle:

Theorem nke Triangle Outer Angle: Nkwupụta na Nsogbu

N'akụkụ akụkụ ime (λ) triangle n'otu vertex bụ mpụga. Na ọnụ ọgụgụ anyị, e gosipụtara ya site na akwụkwọ ozi ahụ γ.

N'ime:

  • Nchikota nke akụkụ ndị a bụ ogo 180, ntụgharị c+ λ = 180° (ihe onwunwe nke nkuku dị n'èzí);
  • 0 и 0.

Nkwupụta nke theorem

Akụkụ mpụta nke triangle hà nhata na nchikota akụkụ abụọ nke triangle na-adịghị n'akụkụ ya.

c = a + b

Theorem nke Triangle Outer Angle: Nkwupụta na Nsogbu

Site na usoro mmụta a, ọ na-esote na akụkụ mpụta nke triangle dị ukwuu karịa akụkụ ọ bụla dị n'ime nke na-adịghị n'akụkụ ya.

Ihe atụ nke ọrụ

Ọrụ 1

A na-enye triangle nke a maara ụkpụrụ nke akụkụ abụọ - 45 Celsius na 58 Celsius. Chọta akụkụ mpụta dị n'akụkụ akụkụ triangle amaghị ama.

ngwọta

Iji usoro nke theorem, anyị na-enweta: 45° + 58° = 103°.

Ọrụ 1

Akụkụ mpụta nke triangle bụ 115°, na otu n'ime akụkụ ndị na-adịghị n'akụkụ bụ 28°. Gbakọọ ụkpụrụ nke akụkụ ndị fọdụrụ nke triangle.

ngwọta

Maka ịdị mma, anyị ga-eji akara ngosi egosiri na ọnụ ọgụgụ ndị dị n'elu. A na-ewere akụkụ dị n'ime ama ama dị ka α.

Dabere na theorem: β = γ – α = 115° – 28° = 87°.

n'akuku λ dị n'akụkụ mpụta, ya mere a na-agbakọ ya site na usoro a (na-esote site na ihe onwunwe nke nkuku mpụta): λ = 180° – γ = 180° – 115° = 65°.

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