5.5 Law of Sines.

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Presentation transcript:

5.5 Law of Sines

What you’ll learn about Deriving the Law of Sines Solving Triangles (AAS, ASA) The Ambiguous Case (SSA) Applications … and why The Law of Sines is a powerful extension of the triangle congruence theorems of Euclidean geometry.

Law of Sines

Example Solving a Triangle Given Two Angles and a Side

Example Solving a Triangle Given Two Angles and a Side

Example Solving a Triangle Given Two Angles and a Side

Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Example Solving a Triangle Given Two Sides and an Angle (The Ambiguous Case)

Example Finding the Height of a Pole 15ft 15º 65º B A C

Example Finding the Height of a Pole 15ft 15º 65º B A C