Find values for b such that the triangle has no solutions. A = 54°, a = 19 A) $b \frac { 19 } { \sin 54 ^ { \circ } }$

Question

Find values for b such that the triangle has no solutions.  
A = 54°, a = 19
 
A) $b < \frac { 19 } { \sin 54 ^ { \circ } }$
B) $b \leq \frac { 19 } { \sin 54 ^ { \circ } }$
C) $b = \frac { 19 } { \sin 54 ^ { \circ } }$
D) $b \geq \frac { 19 } { \sin 54 ^ { \circ } }$
E) $b > \frac { 19 } { \sin 54 ^ { \circ } }$

Quizplus · Accepted Answer

For a triangle to have no solutions in the SSA case, side b must be greater than the calculated height, which is $ \frac{19}{\sin 54^\circ} $.

Find Values for B Such That the Triangle Has No b<19sin⁡54∘b < \frac { 19 } { \sin 54 ^ { \circ } }b<sin54∘19​

Find Values for B Such That the Triangle Has No $b < \frac { 19 } { \sin 54 ^ { \circ } }$