Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no
triangle at all. Solve any triangle(s) that results.
-$$a = 7 , \quad b = 9 , \quad \beta = 49 ^ { \circ }$$
A) two triangles
$$
\begin{array}{l}
\alpha_{1}=76.01^{\circ}, \gamma_{1}=54.99^{\circ}, c_{1}=7.60 \text { or } \
\alpha_{2}=103.99^{\circ}, \gamma_{2}=27.01, c_{2}=12.14
\end{array}
$$
B) one triangle
$$
\alpha=35.94^{\circ}, \gamma=95.06^{\circ}, \mathrm{c}=11.88
$$
C) one triangle
$$
\alpha=76.01^{\circ}, \gamma=54.99^{\circ}, c=7.60
$$

D) no triangle

Question

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no
triangle at all. Solve any triangle(s) that results.
-$$a = 7 , \quad b = 9 , \quad \beta = 49 ^ { \circ }$$
A) two triangles
$$
\begin{array}{l}
\alpha_{1}=76.01^{\circ}, \gamma_{1}=54.99^{\circ}, c_{1}=7.60 \text { or } \
\alpha_{2}=103.99^{\circ}, \gamma_{2}=27.01, c_{2}=12.14
\end{array}
$$
B) one triangle
$$
\alpha=35.94^{\circ}, \gamma=95.06^{\circ}, \mathrm{c}=11.88
$$
C) one triangle
$$
\alpha=76.01^{\circ}, \gamma=54.99^{\circ}, c=7.60
$$

D) no triangle

Quizplus · Accepted Answer

The Answer of Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no
triangle at all. Solve any triangle(s) that results.
-$$a = 7 , \quad b = 9 , \quad \beta = 49 ^ { \circ }$$
A) two triangles
$$
\begin{array}{l}
\alpha_{1}=76.01^{\circ}, \gamma_{1}=54.99^{\circ}, c_{1}=7.60 \text { or } \
\alpha_{2}=103.99^{\circ}, \gamma_{2}=27.01, c_{2}=12.14
\end{array}
$$
B) one triangle
$$
\alpha=35.94^{\circ}, \gamma=95.06^{\circ}, \mathrm{c}=11.88
$$
C) one triangle
$$
\alpha=76.01^{\circ}, \gamma=54.99^{\circ}, c=7.60
$$

D) no triangle

Two Sides and an Angle Are Given a=7,b=9,β=49∘a = 7 , \quad b = 9 , \quad \beta = 49 ^ { \circ }a=7,b=9,β=49∘

Two Sides and an Angle Are Given $a = 7 , \quad b = 9 , \quad \beta = 49 ^ { \circ }$