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Solve for in each of the following triangles. What methods can be used for finding unknown parts of triangles? Homework Help ✎

What laws and theorems relate the angles of a triangle to the sides? Or relate the lengths of the sides of a triangle to each other?
Use them to help you find the unknown parts of these triangles.

  1. shape a

    Which trigonometric ratio relates the side opposite the angle to the side adjacent to it?

  1. Shape b

    Remember that all the angles of a triangle add up to . Solve for the measure of the unknown angle. This will help you choose the correct law to solve for the unknown side.

    Use the Law of Sines.

  1. Shape c

    Use the Law of Cosines.