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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 61°, a = 17, b = 19
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Two triangles can not be formed with the given information. The information gives only the lengths of 2 legs and their angle of intersect.
BTW, the 2 legs can be closed, and the triangle "solved" using sines, but improper questions make me antsy.
\[\frac{\sin(B)}{19}=\frac{\sin(61)}{17}\] \[B=\arcsin(\frac{19\sin(61)}{17})\]
now you have to angles, 61 and 77.83 you can easily find the third, since the sum is 180
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*two
if there is another one, the angle B will be \(180-77.83=102.17\) .
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