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Suatu segitiga ABC diketahui , sisi  dan sisi . Berapakah ?

Pertanyaan

Suatu segitiga ABC diketahui angle straight B equals 30 degree, sisi b equals 10 square root of 2 space cm dan sisi c equals 20 space cm. Berapakah angle straight C?

Pembahasan Soal:

Diketahui segitiga ABC dengan angle straight B equals 30 degree, sisi b equals 10 square root of 2 space cm dan sisi c equals 20 space cm, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator b over denominator sin angle straight B end fraction end cell equals cell fraction numerator c over denominator sin angle straight C end fraction end cell row cell fraction numerator 10 square root of 2 space cm over denominator sin space 30 degree end fraction end cell equals cell fraction numerator 20 space cm over denominator sin angle C end fraction end cell row cell fraction numerator 10 square root of 2 over denominator begin display style bevelled 1 half end style end fraction end cell equals cell fraction numerator 20 over denominator sin angle straight C end fraction end cell row cell sin angle straight C end cell equals cell 20 cross times fraction numerator begin display style bevelled 1 half end style over denominator 10 square root of 2 end fraction end cell row cell sin angle straight C end cell equals cell fraction numerator 1 over denominator square root of 2 end fraction end cell row cell sin angle straight C end cell equals cell fraction numerator 1 over denominator square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row cell sin angle straight C end cell equals cell 1 half square root of 2 end cell end table 

angle straight C equals 45 degree space atau space angle straight C equals 135 degree

Jadi besar angle straight C adalah 45 degree atau 135 degree 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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