Answer:
Step-by-step explanation:
Alright, lets get started.
Using sin Law,
[tex]\frac{sinA}{a}=\frac{sinB}{b}[/tex]
Plugging the value of a, b and angle A
[tex]\frac{sin62}{13}=\frac{sinB}{9}[/tex]
[tex]sinB=\frac{9*sin62}{13}[/tex]
[tex]sinB=\frac{9*0.8829}{13}[/tex]
[tex]sinB=0.61127[/tex]
taking sin inverse on both sides
[tex]B=sin^{-1}(0.61127) =37.68[/tex]
The may be another value of B that will called B' = [tex]180-37.68=142.32[/tex]
We will not consider this B' value because the um of angle B' and A will exceeds 180 degree ([tex]142.32+62=204.32[/tex])
Thats why only one triangle is possible. : Answer
Hope it will help :)
