Engineering Board Exam Reviewer · Solutions to Oblique Triangles · hard

In triangle ABC, A=40°, a=9 and b=12. Find the smaller possible value of side c.

  1. 13.83
  2. 9.19
  3. 4.56
  4. 7.71

Answer

C. 4.56

Solution

c2-2bc A+b2-a2=0 c=b A (a2-b2 2A)=9.19 4.64. The smaller value is 4.56 and the larger is 13.83.

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