SOLUTION: in the following exercise, two sides and an angle are given, first determine whether the information result is no triangle, one triangle, or two triangle. solve the resulting trian

Question 1120882: in the following exercise, two sides and an angle are given, first determine whether the information result is no triangle, one triangle, or two triangle. solve the resulting triangle. a=9.1 b=6.8 A=42 degrees.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

I find it easiest for all problems like this to draw the figure in the same orientation. I put the given angle at the left, with the unknown side horizontal. That helps me see that, in this example, the known side adjacent to the given angle is 6.8 and the side opposite the given angle is 9.1.

With that figure, it is easy to see, since the side opposite is longer than the side adjacent, that there is going to be only one triangle.

To solve the triangle, you have two sides and the angle opposite one of them; this calls for using the law of sines to find the angle opposite the second given side. After that you find the third angle knowing that the sum of the three angles is 180 degrees; then you can find the length of the third side by again using the law of sines.
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