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8 June, 21:22

What is the length of side c, given a = 10, b = 8, and c = 105°? round the answer to the nearest tenth?

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  1. 8 June, 21:29
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    For this case, using the law of cosine we have:

    c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (C)

    Substituting values we have:

    c ^ 2 = 10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105)

    Clearing c we have:

    c = root (10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105))

    c = 14.33216827

    round the answer to the nearest tenth:

    c = 14.3

    Answer:

    the length of side c is:

    c = 14.3
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