the law of sines can be used to solve any triangle given two angles and any side
ID: 3135662 • Letter: T
Question
the law of sines can be used to solve any triangle given two angles and any side MAC1114 Summer 2018, PrietoValdes Homework: Law of Cosines Score: 0 of 1 pt 9.3.41 Solve the following triangle using either the Law of Sines or the Law of Cosines. b 4,0-9,A 102 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ( O A. There is only one possible solution for the triangle. The measurements for the remaining side a and angles B and C are as follows. an 0 B. There are two possible solutions for the triangle. The measurements for the solution with the smaller angle B are as follows. The measurements for the solution with the larger angle B are as follows a2 2A ° C. There are no possible solutions for this triangle.Explanation / Answer
applying law of cosines
a = sqrt [ 4^2 + 9^2 - 2*4*9 cos 102 ]
a = 10.58
now applying law of sines
10.58/ sin A = 4 / sin B
B = 21.7
C = 180 - ( 21.7 + 102)
C = 56.30
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