Law of Sines Calculator — Formel
## Law of Sines
### Formula
**a / sin(A) = b / sin(B) = c / sin(C)**
This law relates the sides of any triangle to the sines of their opposite angles.
### Solving for Side b
**b = a × sin(B) / sin(A)**
### When to Use
Use the Law of Sines when you know:
- Two angles and one side (AAS or ASA)
- Two sides and an angle opposite one of them (SSA, but watch for the ambiguous case)
### Formula
**a / sin(A) = b / sin(B) = c / sin(C)**
This law relates the sides of any triangle to the sines of their opposite angles.
### Solving for Side b
**b = a × sin(B) / sin(A)**
### When to Use
Use the Law of Sines when you know:
- Two angles and one side (AAS or ASA)
- Two sides and an angle opposite one of them (SSA, but watch for the ambiguous case)
Lösungsbeispiel
Find side b: a = 10, angle A = 30°, angle B = 60°.
- b = 10 × sin(60°) / sin(30°)
- = 10 × 0.8660 / 0.5
- = 17.3205
- Angle C = 180 - 30 - 60 = 90°