Penjelasan dengan langkah-langkah:
Besar sudut B
= 180° - 60° - 45°
= 75°
sin 75°
= sin (30° + 45°)
= sin 30° . sin 45° + cos 30° . cos 45°
= 1/2 . 1/2 √2 + 1/2 √3 . 1/2 √2
= 1/4 (√2 + √6)
b/sin B = a/sin A
b = (sin 75° . 6)/sin 60°
b = (1/4 (√2 + √6) . 6) / ((√3)/2)
b = (3/2) . (√2 + √6) . 2/3 . √3
b = (√6 + 3 √2) cm
Jika ditanyakan c
c/sin C = a/sin A
c = (sin 45° . 6)/sin 60°
c = (1/2 √2 . 6) . 2/3 . √3
c = 2 √6 cm
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Penjelasan dengan langkah-langkah:
Besar sudut B
= 180° - 60° - 45°
= 75°
sin 75°
= sin (30° + 45°)
= sin 30° . sin 45° + cos 30° . cos 45°
= 1/2 . 1/2 √2 + 1/2 √3 . 1/2 √2
= 1/4 (√2 + √6)
b/sin B = a/sin A
b = (sin 75° . 6)/sin 60°
b = (1/4 (√2 + √6) . 6) / ((√3)/2)
b = (3/2) . (√2 + √6) . 2/3 . √3
b = (√6 + 3 √2) cm
Jika ditanyakan c
c/sin C = a/sin A
c = (sin 45° . 6)/sin 60°
c = (1/2 √2 . 6) . 2/3 . √3
c = 2 √6 cm