Law of Sines

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Law of Sines - PowerPoint PPT Presentation

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)

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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

a

x

B

Draw an altitude from the center.

Label the segments formed.

Label the angles at the center.

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Example 1: The AAS Case.

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Example 2: The ASA Case.

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