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18 August, 15:34

Find the measure of the largest angle in ABC if a = 12, b = 8 and c = 13.

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  1. 18 August, 18:55
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    78.28023969=C

    Step-by-step explanation:

    The largest angle is opposite the largest side so C would be the largest angle.

    We can find C using the law of cosines

    c^2 = a^2 + b^2 - 2ab cosC

    13^2 = 12^2 + 8^2 - 2*12*8cosC

    169 = 144 + 64 - 192 cos C

    Combine like terms

    169 = 208 - 192 os C

    Subtract 208 from each side

    -39 = - 192 cos C

    Divide by - 192

    -39/-192 = cos C

    Take arccos of each side

    acrcos (39/192) = arccos (cos C)

    arccos (39/192) = C

    78.28023969=C
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