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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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**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**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**Example 1: The AAS Case.**www.mathgarage.com**Example 2: The ASA Case.**www.mathgarage.com**Ex 3: The SSA Case. (one solution)**www.mathgarage.com**Ex 4: The SSA Case. (no solution)**www.mathgarage.com**Ex 5: The SSA Case. (two solutions)**www.mathgarage.com

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