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Teorema del sinus

Teorema del sinus. El teorema del sinus s’enuncia d’aquesta manera: “en tot triangle, les longituds dels costats són directament proporcionals als sinus dels angles que s’hi oposen.” En aquest teorema es verifica la igualtat: a b c sin A sin B sin C.

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Teorema del sinus

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  1. Teorema del sinus

  2. El teorema del sinus s’enuncia d’aquesta manera: “en tot triangle, les longituds dels costats són directament proporcionals als sinus dels angles que s’hi oposen.” • En aquest teorema es verifica la igualtat: a b c sin A sin B sin C C a b B A c

  3. Exemple • 1. Resol el triangle en què a= 24cm, b=15cm i A=125º. a = b sinB = b sinA = 15 sin125 = 0.51 sinAsinB a 24 B= 30.79º A+B+C=180 C =180-125-30.79= 24,21º a c c = a sinC = 24 sin24,21 = 12.01cm sinAsinCsinA sin125

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