Pertanyaan

Tentukan panjang A B , apabila diketahui panjang A C = 10 cm !

Tentukan panjang $A B$ , apabila diketahui panjang $A C = 10 cm$ !

O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

Pembahasan

Dengan aturan sinus, didapat:

$begin mathsize 14px style fraction numerator AB over denominator sin space straight C end fraction equals fraction numerator AC over denominator sin space straight B end fraction equals fraction numerator BC over denominator sin space straight A end fraction fraction numerator AB over denominator sin space 45 degree end fraction equals fraction numerator 10 over denominator sin space 90 degree end fraction equals fraction numerator BC over denominator sin space 45 degree end fraction fraction numerator AB over denominator open parentheses begin display style 1 half end style square root of 2 close parentheses end fraction equals 10 over 1 equals fraction numerator BC over denominator open parentheses begin display style 1 half square root of 2 end style close parentheses end fraction AB equals 5 square root of 2 BC equals 5 square root of 2 end style$