Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
-$$\begin{array} { l }
a = 6.3 \mathrm { in } . \
b = 13.6 \mathrm { in } . \
c = 15.3 \mathrm { in } .
\end{array}$$
A) No triangle satisfies the given conditions.
B) $\mathrm { A } = 24.3 ^ { \circ } , \mathrm { B } = 62.6 ^ { \circ } , \mathrm { C } = 93.1 ^ { \circ }$
C) $\mathrm { A } = 26.3 ^ { \circ } , \mathrm { B } = 60.6 ^ { \circ } , \mathrm { C } = 93.1 ^ { \circ }$
D) $\mathrm { A } = 22.3 ^ { \circ } , \mathrm { B } = 62.6 ^ { \circ } , \mathrm { C } = 95.1 ^ { \circ }$

Question

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
-$$\begin{array} { l } 
a = 6.3 \mathrm { in } . \
b = 13.6 \mathrm { in } . \
c = 15.3 \mathrm { in } .
\end{array}$$
A) No triangle satisfies the given conditions.
B) $\mathrm { A } = 24.3 ^ { \circ } , \mathrm { B } = 62.6 ^ { \circ } , \mathrm { C } = 93.1 ^ { \circ }$
C) $\mathrm { A } = 26.3 ^ { \circ } , \mathrm { B } = 60.6 ^ { \circ } , \mathrm { C } = 93.1 ^ { \circ }$
D) $\mathrm { A } = 22.3 ^ { \circ } , \mathrm { B } = 62.6 ^ { \circ } , \mathrm { C } = 95.1 ^ { \circ }$

Quizplus · Accepted Answer

The angles can be found using the Law of Cosines. Given the sides of the triangle, the angles can be calculated accurately, and option B provides the correct set of angles that correspond to the given sides.

Find the Missing Parts of the Triangle a=6.3in.b=13.6in.c=15.3in.\begin{array} { l } a = 6.3 \mathrm { in } . \\b = 13.6 \mathrm { in } . \\c = 15.3 \mathrm { in } .\end{array}a=6.3in.b=13.6in.c=15.3in.​

Find the Missing Parts of the Triangle $\begin{array} { l } a = 6.3 \mathrm { in } . \\b = 13.6 \mathrm { in } . \\c = 15.3 \mathrm { in } .\end{array}$