Find the Missing Parts of the Triangle $$\begin{array} { l } \mathrm { A } = 23 ^ { \circ } \\\mathrm { a } = 35 \mathrm {~km} \\\mathrm {~b} = 54 \mathrm {~km}\end{array}$$

question 262

Multiple Choice

Find the missing parts of the triangle.
- $$\begin{array} { l } \mathrm { A } = 23 ^ { \circ } \\\mathrm { a } = 35 \mathrm {~km} \\\mathrm {~b} = 54 \mathrm {~km}\end{array}$$
If necessary, round angles to the nearest whole number and side lengths to the nearest $\mathrm { km }$ .

• A) \(\mathrm { B } _ { 1 } = 37 ^ { \circ } , \mathrm { C } _ { 1 } = 120 ^ { \circ } , \mathrm { c } 1 = 78 \mathrm {~km}\)
• B) \(\mathrm { B } = 37 ^ { \circ } , \mathrm { C } = 120 ^ { \circ } , \mathrm { c } = 78 \mathrm {~km}\)
• \[\mathrm { B } _ { 2 } = 143 ^ { \circ } , \mathrm { C } _ { 2 } = 14 ^ { \circ } , \mathrm { c } _ { 2 } = 22 \mathrm {~km}\]
• C) no such triangle
• \[\text { D) } \begin{aligned}
• \mathrm { B } _ { 1 } & = 120 ^ { \circ } , \mathrm { C } _ { 1 } = 37 ^ { \circ } , \mathrm { c } _ { 1 } = 78 \mathrm {~km} \\
• \mathrm {~B} _ { 2 } & = 14 ^ { \circ } , \mathrm { C } _ { 2 } = 143 ^ { \circ } , \mathrm { c } _ { 2 } = 22 \mathrm {~km}
• \end{aligned}\]

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