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4 January, 08:15

Solve the triangle. round the lengths to the nearest tenth and angle measures to the nearest degree. a = 6, c = 11, b = 109°

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  1. 4 January, 08:38
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    Hello,

    a=6, c=11, B=109°

    b²=a²+c²-2accosB=6²+11²-2*6*11*cos 109°=199,9749963 ...

    ==>b=14,14125158 ... ≈14.1

    sin A/a=sin B/b==>sin A=6*sin 109°/14.14125 ... = 0,4011746

    ==>A=23,6516 ... °≈24°

    C=180°-109°-24°≈47°
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