Odpowiedź:
γ = 180° - (α + β) = 180° - (30° + 60°) = 180° - 90° = 90°
a = 6 [j]
Korzystamy z twierdzenia sinusów
a/sinα = b/sinβ = a/sin30° = b/sin60° = 6: 1/2 = b : √3/2
1/2b = 6√3/2 = 3√3 [j]
b = 2 * 3√3 = 6√3 [j]
b/sinβ = c/sinγ = 6√3 : sin60° = c : sin90°
6√3 : √3/2 = c : 1
6√3 * 2/√3 = c
12/3 = c
c = 4 [j]
[j] - znaczy właściwa jednostka
Odp: γ = 90° , b = 6√3 [j] , c = 4 [j]
