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

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.
- $$\mathrm { C } = 60 ^ { \circ } , \mathrm { c } = 44 , \mathrm {~b} = 49$$

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

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Definitions:

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Neurons

Specialized cells transmitting nerve impulses; they are the fundamental units of the brain and nervous system.

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Chemical compounds that do not contain carbon-hydrogen bonds, often crucial for various biological functions and industrial applications.