Sinussatz-Rechner — 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)

    • Lösungsbeispiel

    Find side b: a = 10, angle A = 30°, angle B = 60°.

    1. b = 10 × sin(60°) / sin(30°)
    2. = 10 × 0.8660 / 0.5
    3. = 17.3205
    4. Angle C = 180 - 30 - 60 = 90°