SOLUTION: Determine whether the triangle has no solution, one solution, or two solutions. A=29�, a=5, b=14?

Question 1037232: Determine whether the triangle has no solution, one solution, or two solutions.
A=29�, a=5, b=14?
Answer by Aldorozos(172) (Show Source): You can put this solution on YOUR website!

SinA/a = Sinb/b Sin29/5 = sinb/14
You may use your calculator to fine the sin of 29. That number is close to 1/2 since sin of 30 degrees is 1/2 =.5
.5/5 =sinb/14vTherefore sinb = 14* .5/5 If you use your calculator, you get a number around 1.5 We know that the sin of every angle is a number between -1 and 1. We have sinb around 1.5 which is impossible. Therefore, there is no solution:
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http://mathforum.org/library/drmath/view/62579.html

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