Question

If sides A and B of a triangle have lengths of 4 and 6 respectively, and the angle between them is `pi/3`, then what is the area of the triangle?

Answer 1

`6*sqrt(3)`

Explanation:

We use the formula
`A=1/2*a*b*sin(gamma)`
and
`sin(pi/3)=sqrt(3)/2`

so

`A=1/2*6*4*sin(pi/3)`
`A=6*sqrt(3)`