MATH 1148 Midterm: MATH 148 OSU ambiguous case

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1148
• Professor: All

Document Summary

Here is an example where two triangles can be make to t one description. We are given two sides and an angle opposite one of the sides (the ssa case): Using the law of sines we see that the angle b can be sin 1(11 sin(25)/7) = 41. 6144 or the supplementary angle, The rst illustration shows the situation when b = 41. 6144 . b=11 a=7. The other possibility is that angle b = 180 . Here are the two triangles superimposed on each other. Note that a=25 , b=11, and a=7 in both triangles! b=11 b=11 a=7 a=7. This is an example of the ambiguous case because two di erent triangles can be made to t the same description. It is also possible that there is no triangle that ts the description in the.