Trigonometry

Law of Sines

a/sin(A) = b/sin(B) = c/sin(C)

  • High school
  • about 4 min
  • 10 of 11 in the family
Not started
a=200c=273b=245A=45°B=60°C=75°
A=45°
B=60°

C = 180° - A - B = 75°

asin⁡A=bsin⁡B=csin⁡C=282.8\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} = 282.8

Law of sines: the ratio of each side to the sine of its opposite angle is constant (= diameter of circumscribed circle). Works for any triangle.