SOLUTION: Solve triangle ABC if A= 24.7, C=106.1 degrees and b=34.0 can someone show me please or explain

Question 1116697: Solve triangle ABC if A= 24.7, C=106.1 degrees and b=34.0
can someone show me please or explain
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve triangle ABC if A= 24.7, C=106.1 degrees and b=34.0
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Angle B = 180 -(A+B) = 49.2 degs
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Use the Law of Sines to find sides a & c
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Use the Law of sines
:
(a/sin(A)) = (b/sin(B)) = (c/sin(C))
:
we have two angles, so we can determine the third angel(angle B)
:
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angle B = 180 - 106.1 - 24.7 = 49.2
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:
then we have two relationships to determine the sides a and c
:
(34.0/sin(49.2)) = (a/sin(24.7))
:
cross multiply and solve for a
:
***************************************************************
a = (sin(24.7) * 34.0) / sin(49.2) = 18.7683 approximately 18.8
***************************************************************
:
(34.0/sin(49.2)) = (c/sin(106.1))
:
cross multiply and solve for c
:
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c = (sin(106.1) * 34.0) / sin(49.2) = 43.1528 approximately 43.2
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:

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