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Determination of Unknown Triangle Measures Given Area

Solve for missing triangle parts using area formulas and the law of cosines/sines.

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Trigonometry Triangles and Vectors
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    Determination of Unknown Triangle Measures Given Area
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    Vocabulary

    law of cosines

    law of cosines

    The law of cosines is a rule relating the sides of a triangle to the cosine of one of its angles. The law of cosines states that c^2=a^2+b^2-2ab\cos C, where C is the angle across from side c.
    law of sines

    law of sines

    The law of sines is a rule applied to triangles stating that the ratio of the sine of an angle to the side opposite that angle is equal to the ratio of the sine of another angle in the triangle to the side opposite that angle.

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    Directions: Use what you have learned to solve each problem.
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