Pertanyaan

Hitunglah unsur-unsur △ K L M yang belum diketahui jika KM = 8 cm , ML = 5 cm dan ∠ M = 4 0 ∘

Hitunglah unsur-unsur $△ K L M$ yang belum diketahui jika $KM = 8 cm$ , $ML = 5 cm$ dan $∠ M = 4 0^{\circ}$

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

table attributes columnalign right center left columnspacing 0px end attributes row blank blank angle end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight K end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 110 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank angle end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight L end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 30 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank dan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank KL end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 12 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cm end table

Pembahasan

Pertama kita tentukan panjang KL dengan menggunkan aturan cosinus: Kemudian, dengan menggunakan aturan sinus, maka: Kemudian, Jadi,

Pertama kita tentukan panjang KL dengan menggunkan aturan cosinus:

Kemudian, dengan menggunakan aturan sinus, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator K L over denominator sin space M end fraction end cell equals cell fraction numerator K M over denominator sin space L end fraction end cell row cell fraction numerator 12 over denominator S i n space 40 end fraction end cell equals cell fraction numerator 8 over denominator S i n space L end fraction end cell row cell S i n space L end cell equals cell 3 over 4 cross times 2 over 3 end cell row cell S i n space L end cell equals cell 1 half end cell row cell a r c sin space 1 half end cell equals cell 30 degree end cell row cell angle L end cell equals cell 30 degree end cell end table$

Kemudian,

table attributes columnalign right center left columnspacing 0px end attributes row cell angle M plus angle L plus angle K end cell equals 180 row cell 40 plus 30 plus angle K end cell equals 180 row cell angle K end cell equals cell 110 degree end cell end table

Jadi,