Law of sines
The Law of Sines is the relationship between sides and angles in any triangle.
The sides of a triangle are to one another
in the same ratio as the sines of their opposite angles.
Let's see... Consider this triangle:
The law can also be written as the reciprocal: Proof: The perpendicular, oc, splits this triangle into two rightangled triangles. This lets us calculate h in two different ways
By using the other two perpendiculars the full law of sines can be proved. QED. Complete the following triangle using the law of sines:
(Round the solution to hundredths)
