Question

In a triangle ABC,if tanA+tanB+tanC=6 and TatA tanB=2 then the triangle is

Answer 1

tanA and tanB is either both positive or both negetive from tanAxtanB=2

tanA+tanB+tanC=tanA x tanB x tanC=6

 

thus tanC is 4.thus c is acute.

since angle c is acute we can say that b and a will also be acute because both will be simultaneously positive and hence the triangle is acute