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The Given Measurements May or May Not Determine a Triangle C=60∘,c=44, b=49\mathrm { C } = 60 ^ { \circ } , \mathrm { c } = 44 , \mathrm {~b} = 49

Question 37

Multiple Choice

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is
formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.
- C=60∘,c=44, b=49\mathrm { C } = 60 ^ { \circ } , \mathrm { c } = 44 , \mathrm {~b} = 49


A) The triangle cannot be solved with the Law of Sines.
B) B=74.7∘,A=45.3∘,a≈36.1\mathrm { B } = 74.7 ^ { \circ } , \mathrm { A } = 45.3 ^ { \circ } , \mathrm { a } \approx 36.1 or B=105.3∘,A=14.7∘,a≈12.9\mathrm { B } = 105.3 ^ { \circ } , \mathrm { A } = 14.7 ^ { \circ } , \mathrm { a } \approx 12.9
C) No triangle is formed.
D) B=72.7∘,A=47.3∘,a≈37.7\mathrm { B } = 72.7 ^ { \circ } , \mathrm { A } = 47.3 ^ { \circ } , \mathrm { a } \approx 37.7 or B=107.3∘,A=12.7∘,a≈11.3\mathrm { B } = 107.3 ^ { \circ } , \mathrm { A } = 12.7 ^ { \circ } , \mathrm { a } \approx 11.3

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