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Diketahui suatu segitiga ABC memiliki sisi sepanjang 10 cm , c = 5 cm dan besar sudut α = 5 0 ∘ . Tentukan sudut γ dan panjang sisi b !

Diketahui suatu segitiga  memiliki sisi a sepanjang , dan besar sudut . Tentukan sudut  dan panjang sisi !

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besar sudut .

besar sudut gamma equals 22 comma 5 degree comma space b equals 12 comma 45 space cm.

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Jadi, besar sudut .

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a over denominator sin space alpha end fraction end cell equals cell fraction numerator b over denominator sin space beta end fraction equals fraction numerator c over denominator sin gamma end fraction end cell row cell fraction numerator a over denominator sin space alpha end fraction end cell equals cell fraction numerator c over denominator sin space gamma end fraction end cell row cell fraction numerator 10 over denominator sin space 50 degree end fraction end cell equals cell fraction numerator 5 over denominator sin space gamma end fraction end cell row cell 10 space sin space gamma end cell equals cell 5 space sin space 50 degree end cell row cell sin space y end cell equals cell fraction numerator 5 space sin space 50 degree over denominator 10 end fraction end cell row cell sin space y end cell equals cell 0 comma 38 end cell row y equals cell a r c sin space open parentheses 0 comma 38 close parentheses end cell row y equals cell 22 comma 5 degree end cell row cell angle beta end cell equals cell 180 degree minus open parentheses 50 degree plus 22 comma 5 degree close parentheses end cell row blank equals cell 180 degree minus 72 comma 5 degree end cell row blank equals cell 107 comma 5 degree end cell row cell fraction numerator a over denominator sin space alpha end fraction end cell equals cell fraction numerator b over denominator sin space beta end fraction end cell row cell fraction numerator 10 over denominator sin space 50 degree end fraction end cell equals cell fraction numerator b over denominator sin space 107 comma 5 degree end fraction end cell row cell b space sin space 50 degree end cell equals cell 10 space sin space 107 comma 5 degree end cell row b equals cell fraction numerator 10 space sin space 107 comma 5 degree over denominator sin space 50 degree end fraction end cell row blank equals cell 12 comma 45 space cm end cell end table

Jadi, besar sudut gamma equals 22 comma 5 degree comma space b equals 12 comma 45 space cm.

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