Triangle Outer Angle Theorem: Polelo le Mathata

Khatisong ena, re tla hlahloba e 'ngoe ea li-theorems tse ka sehloohong sehlopheng sa 7 geometry - ka lehlakoreng le ka ntle la kgutlotharo. Re tla boela re hlahlobe mehlala ea ho rarolla mathata e le ho kopanya boitsebiso bo fanoeng.

Tlhaloso ea sekhutlo se ka ntle

Pele, a re hopoleng hore na huku e ka ntle ke eng. Ha re re re na le kgutlotharo:

Triangle Outer Angle Theorem: Polelo le Mathata

Haufi le huku e kahare (λ) angle kgutlotharo ka vertex tšoanang ke Link. Papisong ea rona, e bontšoa ke lengolo γ.

Moo:

  • kakaretso ea li-angles tsena ke likhato tse 180, ke hore c+ λ = 180° (thepa ea sekhutlo se ka ntle);
  • 0 и 0.

Polelo ea theorem

Lehlakore la bokantle ba kgutlotharo le lekana le kakaretso ya dikgutlo tse pedi tsa kgutlotharo tse sa bapileng le yona.

c = a + b

Triangle Outer Angle Theorem: Polelo le Mathata

Ho latela khopolo-taba ena ho latela hore karolo e ka ntle ea khutlotharo e kholo ho feta leha e le efe ea li-angles tse ka hare tse seng haufi le eona.

Mehlala ea mesebetsi

Mosebetsi 1

Ho fanoe ka kgutlotharo, moo litekanyetso tsa li-angles tse peli li tsejoang - 45 ° le 58 °. Fumana angle ea bokantle e bapileng le angle e sa tsejoeng ea khutlotharo.

tharollo

Ho sebelisa mokhoa oa theorem, re fumana: 45 ° + 58 ° = 103 °.

Mosebetsi 1

Karolo e ka ntle ea khutlotharo ke 115 °, 'me e' ngoe ea li-angles tse ka hare tse sa atamelaneng ke 28 °. Bala boleng ba li-angles tse setseng tsa kgutlotharo.

tharollo

Bakeng sa boiketlo, re tla sebelisa notation e bontšitsoeng lipalong tse ka holimo. Sebaka se tsebahalang sa ka hare se nkoa e le α.

E thehiloe ho theorem: β = γ – α = 115° – 28° = 87°.

Angle λ e bapile le bokantle, ka hona e baloa ka mokhoa o latelang (o latela thepa ea sekhutlo se ka ntle): λ = 180° – γ = 180° – 115° = 65°.

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