∠ A = 30^° , ∠ C = 120^° dan c = 6, hitunglah sisi a dan b

Posted on

∠ A = 30^° , ∠ C = 120^° dan c = 6, hitunglah sisi a dan b

Jawaban:

sudut a = 30°

sudut c = 120°

sudut b = ?

• Cari sudut b

= 180 – 120 – 30

= 30°

• Cari sisi a

a/Sin 30° = 6/Sin 120°

a/1/2 = 6/√3/2

2a = 12/√3

a = 6/√3 — rasionalkan

a = 6/√3 x √3/√3

a = 6√3 / 3

a = 2√3

• Cari sisi b

b = √6² + (2√3)² – 2 x 6 x 2√3 x Cos 30°

b = √36 + 12 – 2 x 6 x 2√3 x √3/2

b = √48 – 6 x 2√3 x √3

b = √48 – 6 x 6

b = √48 – 36

b = √12

b = 2√3