SOLUTION: solve the following triangles. given A=35degrees, b=2, c=3

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Question 70004: solve the following triangles. given A=35degrees, b=2, c=3
Answer by ankor@dixie-net.com(12704) About Me  (Show Source):
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solve the following triangles. given A=35 degrees, b=2, c=3
:
This would be side/angle/side which can be handled using the law of cosines
:
a^2 = b^2 + c^2 - 2bc*cos(A)
:
a^2 = 2^2 + 3^2 - 2(2*3)*cos(35)
:
a^2 = 4 + 9 - 12*.819
:
a^2 = 13 - 9.83
:
a = Sqrt(3.17)
:
a = 1.78
:
You can use the law of sines to find the other angles:
sin%28A%29%2Fa = sin%28B%29%2Fb%29
:
sin%2835%29%2F1.78 = sin%28B%29%2F2%29
:
.574%2F1.78 = sin%28B%29%2F2%29
:
1.78*sin(B) = .574 * 2
:
sin(B) = 1.147%2F1.78
:
sin(B) = .644468
:
B = 40.1 ~ 40 degrees
:
Angle C = 180 - 35 - 40 = 105 degrees