Math CentralQuandaries & Queries


Question from Paige, a student:

how do i solve a triangle with one angle of 73 degrees,
one angle of 32 degrees, and one side of 23cm?


You are starting with two angles and a side. Since the sum of the angle measurements in a triangle is 180 degrees you can find the measure of the third angle. Now you can use the Law of Sines to find the lengths of the missing sides.

If you start with two sides and one angle and the angle is opposite on of the known sides then you can again use the Law of Sines. If the known angle is between the two known sides you need to start with the Law of Cosines.


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