6.4 Law Of Sines. The law of sines is used to solve oblique triangles; triangles with no right angles. We will use capital letters to denote angles of.

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Presentation transcript:

6.4 Law Of Sines

The law of sines is used to solve oblique triangles; triangles with no right angles. We will use capital letters to denote angles of the triangle and lower case letters for the corresponding sides. A triangle is determined by 3 of its 6 parts (angles and sides) as long as at least one of these parts is a side.

Law of Sines ASA or SAA: one side and two angles SSA: two sides and the angle opposite one of those sides. Law of Cosines SAS: two sides and the included angle SSS: three sides

The Law of Sines In triangle ABC we have:

Ex Solve the triangle. A B C 20 a c 103º 35º

EX: Two people who live 20 miles apart look at an overhead airplane simultaneously. The angle of elevation relative to the first person is 80 degrees and the angle of elevation relative to the second person is 15 degrees. What is the distance between the first and the airplane?

Ex Solve the triangle x y 15 63º 60º

Ex solve the triangle A B C º 25º

pg 506 #2-16 even, 27, odd Homework