1. Tentukan aturan sinus: a) b) 2. Tentukan aturan consinus: a) a=6 b=5 b) b=7 c=6 Tolong bantu kerjain ya. Terimakasih
Matematika
Meyez
Pertanyaan
1. Tentukan aturan sinus:
a) b)
2. Tentukan aturan consinus:
a) a=6 b=5 b) b=7 c=6
Tolong bantu kerjain ya. Terimakasih
a) b)
2. Tentukan aturan consinus:
a) a=6 b=5 b) b=7 c=6
Tolong bantu kerjain ya. Terimakasih
1 Jawaban
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1. Jawaban LOVEJOY
1. a) a/sin A = b/sin B
5 cm/sin 30° = b/sin 60°
5/¹/₂ = b/¹/₂√3
10 = b/¹/₂√3
b = 10 . ¹/₂√3
= 5√3 cm
C = 180° - (30° + 60°)
= 180° - 90°
= 90°
c/sin C = a/sin A
c/sin 90° = 5 cm/sin 30°
c/1 = 5/¹/₂
c = 10 cm
b) a/sin A = b/sin B
a/sin 90° = 6 cm/sin 30°
a/1 = 6/¹/₂
a = 12 cm
C = 180° - (30° + 90°)
= 180° - 120°
= 60°
c/sin C = a/sin A
c/sin 60° = 12 cm/sin 90°
c/¹/₂ = 12
c = 6 cm
2. a) a/sin A = b/sin B
6/sin 30° = 5/sin B
6/¹/₂ = 5/sin B
sin B = 5/12
B = 25°
C = 180° - (30° + 25°)
= 180° - 55°
= 125°
c/sin C = a/sin A
c/sin 125° = 6/sin 30°
c/0,85 = 5/¹/₂
c = 8,5
b/sin B = c/sin C
7/sin B = 6/sin 45°
= 6/¹/₂√2
= 6√2
sin B = 7/6√2
= 0,824
B = 55°
A = 180° - (55° + 45°)
= 180° - 90°
= 90°
a/sin A = c/sin C
a/sin 90° = 6 cm/sin 45°
a/1 = 6/¹/₂√3
a = 4√3