Respuesta :
Answer:
One possible triangle
Step-by-step explanation:
Given that in a triangleABC given one angle A =30 , two sides a and b
We can use sine angle formula for triangles
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
Substitute to get
[tex]\frac{4}{sin30} =\frac{6}{sin B} =\frac{c}{sinC}[/tex]
[tex]sin B = 0.75\\B=48.6[/tex]
C=[tex]180-30-48.6\\= 101.4[/tex]
[tex]c=8sin 101.4\\c=7.842[/tex]
There can be only one triangle
