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9-4 Law of Cosines

9-4 Law of Cosines. Law of cosines. We can use the law of cosines when we have the SAS or SSS condition. Example #1. Suppose that two sides of a triangle have lengths 3cm and 7cm and the angle between them measures 130°. Find the length of the third side. What if were looking for an angle?.

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9-4 Law of Cosines

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  1. 9-4 Law of Cosines

  2. Law of cosines • We can use the law of cosines when we have the SAS or SSS condition.

  3. Example #1 • Suppose that two sides of a triangle have lengths 3cm and 7cm and the angle between them measures 130°. Find the length of the third side.

  4. What if were looking for an angle? • EXAMPLE #2: The lengths of the sides of a triangle are 5,10, and 12. Solve the triangle.

  5. Example #3 • In the diagram, AB=5, BD=2, DC=4, and CA=7. Find AD. A B C D

  6. Summary of the cases

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