In triangle ABC, if a = 9, B = 10, C = 12, then the shape of triangle ABC is? Ask the people who will teach... Be grateful

In triangle ABC, if a = 9, B = 10, C = 12, then the shape of triangle ABC is? Ask the people who will teach... Be grateful

Using the cosine theorem, because C = 12 is the largest, the angle c is the largest angle,
AB^2=BC^2+AC^2-2BC*AC*CosC
CosC=(BC^2+AC^2-AB^2)/2BC*AC
BC^2+AC^2-AB^2=100+81-144=37>0
CosC>0
Angle c is less than 90 degrees, so triangle ABC is an acute triangle