Question

Segitiga abc panjang sisi ab 8 cm besar sudut b 75 derajat dan sudut c 45 derajat, panjang sisi bc adalah

Answer 1

Verified answer

Kelas 11 Matematika
Bab Trigonometri Lanjut

Sudut a = 180° - 75° - 45°
Sudut a = 60°

bc/sin a = ab/sin c
bc/sin 60° = 8/sin 45°
bc = 8 . sin 60° / sin 45°
bc = (8 . 1/2 √3) / (1/2 √2)
bc = (8√3)/(√2) . (√2)/(√2)
bc = (8√6)/√2²
bc = (8√6)/2
bc = 4√6 cm