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anonymous

  • one year ago

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    A little confused....

  3. wolf1728
    • one year ago
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    Here is the law of cosines:

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  4. anonymous
    • one year ago
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    try to first find a since you are been given angle A

  5. wolf1728
    • one year ago
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    We'll say side c = 15.8 and side b = 7.4 and Angle A = 54 degrees We'll call the side we need to find is side a

  6. wolf1728
    • one year ago
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    From the Law of cosines, we see that a^2 = b^2 + c^2 -(2bc * cos(A)) a^2 = 7.4^2 + 15.8^2 -(2*7.4*15.8 * 0.58779) a^2 = 54.6 + 249.64 -137.4488136 a^2 = 166.9511864 a = square root (166.9511864) a = 12.9209591904

  7. wolf1728
    • one year ago
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    To find another angle, let's use the Law of Sines

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  8. wolf1728
    • one year ago
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    So we know side a / sine (A) = side b / sine (B) Therefore, sine (B) = (sine (A) * side b) / side a sine (B) = sine (54) * 7.4 / 12.9209591904 sine (B) = 0.80902 * 0.5727128993 sine (B) = 0.4633361898 Angle B = arc sine of Angle B Angle B = 27.603 Degrees We know angle A= 54 and angle B = 27.603 We also know that a triangle contains 180 degrees, so Angle (C) = 180 -54 - 27.603 Angle (C) = 98.397 degrees

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