Question 480806: solve triangle ABC
given: angle A is 69 degrees, side b is 34, and side c is 46
Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! solve triangle ABC
given: angle A is 69 degrees, side b is 34, and side c is 46
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We can first solve for a using the law of cosines:
a^2 = b^2 + c^2 - 2bc*cos(A)
a^2 = 34^2 + 46^2 - 2*34*46*cos(69)
This gives a = 46.379
Now we can use the law of sines to solve for the other two angles:
sin(69)/46.379 = sin(B)/34
Solving for B gives B = 43.188
Since the sum of the 3 angles is 180 deg, the angle C is:
C = 180 - 69 - 43.188 = 67.812
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