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Determine the remaining sides and angles of ABC

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Angle B = 18.7degrees
angle C = 124.1degrees
one side of the triangle AC=94.6m.
use the law of sines to solve the triangle involving SAA. a/sinA=b/sinB
substituting the known values given
94.6/sin18.7degrees=b/sin124.1degrees
b=94.6 sin124.1/sin18.7
b=? Can you help me did I set it up right?

find C from the fact that the sum of the angles of any triangle is 180degrees.
A+B+C=180
c=180-A-B
c=180-18.7-124.1
c=37.2
use the law of sines again to find c please help!
did I set it up right can you please help me finish.

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Solution Summary

The remaining sides and angles of ABC are determined.

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Solution. First, we know that A=180-B-C=180-18.7-124.1=37.2 degrees. Then by the ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
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  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
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