Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
-$$\begin{array} { l }
\mathrm { AB } = 324 \mathrm { yd } \
\mathrm { AC } = 180 \mathrm { yd } \
\mathrm { BC } = 169 \mathrm { yd }
\end{array}$$
A) $\mathrm { A } = 21.1 ^ { \circ } , \mathrm { B } = 11.3 ^ { \circ } , \mathrm { C } = 147.6 ^ { \circ }$
B) $\mathrm { A } = 22.6 ^ { \circ } , \mathrm { B } = 21.1 ^ { \circ } , \mathrm { C } = 136.3 ^ { \circ }$
C) $\mathrm { A } = 21.1 ^ { \circ } , \mathrm { B } = 22.6 ^ { \circ } , \mathrm { C } = 136.3 ^ { \circ }$
D) No triangle satisfies the given conditions.

Question

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
-$$\begin{array} { l } 
\mathrm { AB } = 324 \mathrm { yd } \
\mathrm { AC } = 180 \mathrm { yd } \
\mathrm { BC } = 169 \mathrm { yd }
\end{array}$$
A) $\mathrm { A } = 21.1 ^ { \circ } , \mathrm { B } = 11.3 ^ { \circ } , \mathrm { C } = 147.6 ^ { \circ }$
B) $\mathrm { A } = 22.6 ^ { \circ } , \mathrm { B } = 21.1 ^ { \circ } , \mathrm { C } = 136.3 ^ { \circ }$
C) $\mathrm { A } = 21.1 ^ { \circ } , \mathrm { B } = 22.6 ^ { \circ } , \mathrm { C } = 136.3 ^ { \circ }$
D) No triangle satisfies the given conditions.

Quizplus · Accepted Answer

Using the Law of Cosines, we can calculate the angles of the triangle. Given the sides, the calculations will show that option C has the correct angles.

Find the Missing Parts of the Triangle AB=324ydAC=180ydBC=169yd\begin{array} { l } \mathrm { AB } = 324 \mathrm { yd } \\\mathrm { AC } = 180 \mathrm { yd } \\\mathrm { BC } = 169 \mathrm { yd }\end{array}AB=324ydAC=180ydBC=169yd​

Find the Missing Parts of the Triangle $\begin{array} { l } \mathrm { AB } = 324 \mathrm { yd } \\\mathrm { AC } = 180 \mathrm { yd } \\\mathrm { BC } = 169 \mathrm { yd }\end{array}$