Walan said:
How do you use the Law of Cosines in addition to the Law of Sines to calculate the other two angles and a side of a non-right triangle when only the two remaining sides of the triangle and the third angle are given?
Ah, but it's a trick question, for you do not necessarily use a cosine! Observe:
Known information:
angle3 = 45
side1 = 5
side2 = 16
angle1 = atan(side1/side2);
angle1 is 17.354024636261322008610845518853 degrees
angle2 = 180 - angle1 - angle3
angle2 is 117.64597536373867799138915448115 degrees
side3 = sin(angle3)*side2
side3 is 11.313708498984760390413509793678