- 30 POIN - # NOSPAM Materi : Trigonometri Segitiga Diketahui ∆ ABC dengan AC = 6√6 cm , BC = 12 cm , < B = 45°, hitung < C dan AB !

Bab Trigonometri
Matematika SMA Kelas XI

aturan sinus
1]
BC/sin A = AC/sin B
12/sin A = (6√6) / sin 45°
sin A = 1/2 √2 x 12 : 6 √6
sin A = (√2) / √6
sin A = (1/3) √3
∠A = 35,26°

∠C = 180° - ∠A - ∠B
∠C = 180° - 35,26° - 45°
∠C = 99,74°

2] AB / sin C = AC / sin B
AB = sin 99,74° x 6√6 : sin 45°
AB = 0,986 x 6√6 : 1/√2
AB = 5,916 x √6 x √2
AB = 5,916 x √12
AB = 5,916 x 2√3
AB = 11,832 √3 cm