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# Law of Sines

Law of Sines. CONTENTS: Click the underlined word to go directly to the slide or press the spacebar to advance the presentation. Proof using inscribed angles. Example 1: AAS Case Example 2: ASA Case Example 3: SSA Case (one solution) Example 4 : SSA Case (no solution)

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## Law of Sines

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1. Law of Sines CONTENTS: Click the underlined word to go directly to the slide or press the spacebar to advance the presentation. Proof using inscribed angles. Example 1: AAS Case Example 2: ASA Case Example 3: SSA Case (one solution) Example 4: SSA Case (no solution) Example 5: SSA Case (two solutions) To return to this page click the button in the lower right-hand corner. www.mathgarage.com

2. Proof of the Law of Sines Press the spacebar to advance the presentation. A α b For any angle chosen in the triangle, we can repeat the process. c α α R R y Law of Sines C Any triangle can be inscribed in a circle. x Draw two radii. a x B Draw an altitude from the center. Label the segments formed. Label the angles at the center. www.mathgarage.com

3. Example 1: The AAS Case. www.mathgarage.com

4. Example 2: The ASA Case. www.mathgarage.com

5. Ex 3: The SSA Case. (one solution) www.mathgarage.com

6. Ex 4: The SSA Case. (no solution) www.mathgarage.com

7. Ex 5: The SSA Case. (two solutions) www.mathgarage.com

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