Triangle Outer Angle Theorem: Chirevo uye Matambudziko

Muchinyorwa chino, tichatarisa imwe yedzidziso huru mukirasi 7 geometry - nezvekunze kwekona yegonyo. Tichaongororawo mienzaniso yekugadzirisa matambudziko kuitira kubatanidza mashoko ataurwa.

Tsanangudzo yekona yekunze

Kutanga, ngatirangarirei kuti kona yekunze chii. Ngatitii tine katatu:

Triangle Outer Angle Theorem: Chirevo uye Matambudziko

Pedyo nekona yemukati (λ) kona yegonyo pane vertex imwe chete zvekunze. Mumufananidzo wedu, inoratidzwa netsamba γ.

Izvo:

  • huwandu hwemakona aya madhigirii 180, kureva c+ λ = 180° (pfuma yekona yekunze);
  • 0 и 0.

Chirevo che theorem

Kona yekunze yegonyo yakaenzana nehuwandu hwemakona maviri egonyo asina kudhumirana nawo.

c = a + b

Triangle Outer Angle Theorem: Chirevo uye Matambudziko

Kubva pane iyi theorem zvinotevera kuti kona yekunze yekona yekona yakakura kudarika chero ipi zvayo yemukati makona isiri pedyo nayo.

Mienzaniso yemabasa

Basa 1

Triangle inopiwa umo kukosha kwemakona maviri anozivikanwa - 45 ° uye 58 °. Tsvaga kona yekunze yakatarisana nekona isingazivikanwe yekona yegonyo.

mhinduro

Tichishandisa chimiro che theorem, tinowana: 45 ° + 58 ° = 103 °.

Basa 1

Kona yekunze yegonyo i115°, uye imwe yemakona emukati isiri pedyo i28°. Verenga kukosha kwemakona asara etatu.

mhinduro

Kuti zvive nyore, isu tichashandisa notation inoratidzwa munhamba dziri pamusoro. Iyo inozivikanwa yemukati kona inotorwa se α.

Kubva pane theorem: β = γ – α = 115° – 28° = 87°.

Angle λ iri padyo nekunze, uye nekudaro inoverengerwa neinotevera fomula (inotevera kubva kune pfuma yekona yekunze): λ = 180° – γ = 180° – 115° = 65°.

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