Law of Sines

Use Law of Sines if you are given: 2 angles and 1 side (AAS or ASA) To solve any oblique triangle, you need to know at least ONE SIDE and any two other parts. C A B Use Law of Sines if you are given: 2 angles and 1 side (AAS or ASA) 2 sides and an angle opposite 1 of them (SSA)

What is the Law of Sines? A B C which is the same as …

Example 1: Solve the triangle: A = 23º, B = 72º, c = 6.1

Example 2: Solve the triangle: A = 35º , B = 100º , a = 8

Solving Oblique Triangles Law of Cosines Solving Oblique Triangles

two sides and the included angle (SAS) If you are given three sides (SSS) or two sides and the included angle (SAS) then solve using Law of Cosines. B c a C A b

The formula…

Solve the triangle. d = 8.2, e = 3.7, f = 10.8

Solve the triangles. T = 95º, r = 12, a = 10 2) s = 21, n = 15, m = 10 Your Turn Solve the triangles. T = 95º, r = 12, a = 10 2) s = 21, n = 15, m = 10

For example: S 35 E or W 10 N Get your bearings… Bearing measures the acute angle a path or line of sight makes with a fixed north-south or east-west line. For example: S 35 E or W 10 N

Two planes leave the same airport at the same time Two planes leave the same airport at the same time. The first plane is traveling 500 mph bearing W 30ºN. The second plane is bearing N 27º W traveling at 600 mph. How far apart are the planes after 3 hours?