Question

If sides A and B of a triangle have lengths of 5 and 7 respectively, and the angle between them is `(5pi)/12`, then what is the area of the triangle?

Answer 1

`16.90`

Explanation:

Using the formula
`area=1/2ab sinC`
where `C` is the angle between the two sides `a` and `b`.

`area=1/2(5)(7) sin((5pi)/12)`

`=1/2(35) sin((5pi)/12)`

`=17.5 sin((5pi)/12)`

`=16.90` to 2 s.f