Pertanyaan

Segitiga A BC diketahui sudut A = 7 5 ∘ sudut B = 6 0 ∘ . Tentukan nilai perbandingansisi A B : A C !

Segitiga $A BC$ diketahui sudut $A = 7 5^{\circ}$ sudut $B = 6 0^{\circ}$ . Tentukan nilai perbandingan sisi $A B : A C$ !

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Klaim

O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

Jawaban

perbandingan sisi

perbandingan sisi A B space colon space A C space equals square root of 2 colon square root of 3

Pembahasan

Menentukan perbandingan sisi dengan perbandingan sinus. Menentukan sudut . Menentukan perbandingan sisi Jadi, perbandingan sisi

Menentukan perbandingan sisi A B space colon space A C dengan perbandingan sinus.

Menentukan sudut .

table attributes columnalign right center left columnspacing 0px end attributes row cell angle A plus angle B plus angle C end cell equals cell 180 degree end cell row cell 75 degree plus 60 degree plus angle C end cell equals cell 180 degree end cell row cell 135 degree plus angle C end cell equals cell 180 degree end cell row cell angle C end cell equals cell 45 degree end cell end table

Menentukan perbandingan sisi

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator A B over denominator sin space angle C end fraction end cell equals cell fraction numerator A C over denominator sin space angle B end fraction end cell row cell fraction numerator A B over denominator sin space 45 degree end fraction end cell equals cell fraction numerator A C over denominator sin space 60 degree end fraction end cell row cell fraction numerator A B over denominator A C end fraction end cell equals cell fraction numerator sin space 45 degree over denominator sin space 60 degree end fraction end cell row cell fraction numerator A B over denominator A C end fraction end cell equals cell fraction numerator begin display style 1 half end style square root of 2 over denominator begin display style 1 half end style square root of 3 end fraction end cell row cell fraction numerator A B over denominator A C end fraction end cell equals cell fraction numerator square root of 2 over denominator square root of 3 end fraction end cell end table$

Jadi, perbandingan sisi A B space colon space A C space equals square root of 2 colon square root of 3