Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
-$$\begin{array} { l }
a = 20 \mathrm { ft } \
b = 38 \mathrm { ft } \
c = 42 \mathrm { ft }
\end{array}$$
A) $\mathrm { A } = 28.4 ^ { \circ } , \mathrm { B } = 32.3 ^ { \circ } , \mathrm { C } = 119.3 ^ { \circ }$
B) No triangle satisfies the given conditions.
C) $A = 64.6 ^ { \circ } , B = 28.4 ^ { \circ } , C = 87 ^ { \circ }$
D) $\mathrm { A } = 28.4 ^ { \circ } , \mathrm { B } = 64.6 ^ { \circ } , \mathrm { C } = 87 ^ { \circ }$

Question

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
-$$\begin{array} { l } 
a = 20 \mathrm { ft } \
b = 38 \mathrm { ft } \
c = 42 \mathrm { ft }
\end{array}$$
A) $\mathrm { A } = 28.4 ^ { \circ } , \mathrm { B } = 32.3 ^ { \circ } , \mathrm { C } = 119.3 ^ { \circ }$
B) No triangle satisfies the given conditions.
C) $A = 64.6 ^ { \circ } , B = 28.4 ^ { \circ } , C = 87 ^ { \circ }$
D) $\mathrm { A } = 28.4 ^ { \circ } , \mathrm { B } = 64.6 ^ { \circ } , \mathrm { C } = 87 ^ { \circ }$

Quizplus · Accepted Answer

Using the law of cosines, we find angle C first, then use the law of sines to find angles A and B. The angles add up to 180 degrees, confirming the triangle.

Find the Missing Parts of the Triangle a=20ftb=38ftc=42ft\begin{array} { l } a = 20 \mathrm { ft } \\b = 38 \mathrm { ft } \\c = 42 \mathrm { ft }\end{array}a=20ftb=38ftc=42ft​

Find the Missing Parts of the Triangle $\begin{array} { l } a = 20 \mathrm { ft } \\b = 38 \mathrm { ft } \\c = 42 \mathrm { ft }\end{array}$