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3 March, 11:04

Solve the triangle. A = 52°, b = 10, c=7

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  1. 3 March, 11:31
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    Step-by-step explanation:

    Use the Law of Cosines:

    a² = b² + c² - 2ab·cos A

    Substituting the given values, we obtain:

    a² = (10) ² + (7) ² - 2 (10) (7) ·cos 52°

    = 100 + 49 - 140·0.6157

    = 149 - 86.1926

    = 62.81

    Taking the square root of both sides yields:

    a = 7.925, or (to the nearest degree) 8
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