anonymous
  • anonymous
Please help:
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
A little confused....
wolf1728
  • wolf1728
Here is the law of cosines:
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anonymous
  • anonymous
try to first find a since you are been given angle A
wolf1728
  • wolf1728
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
wolf1728
  • wolf1728
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
wolf1728
  • wolf1728
To find another angle, let's use the Law of Sines
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wolf1728
  • wolf1728
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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