Question

If sides A and B of a triangle have lengths of 5 and 2 respectively, and the angle between them is `(3pi)/8`, then what is the area of the triangle?

Answer 1

We just need the formula for the area of a triangle give two sides and the angle between them.

Explanation:

The standard formula is `Area=1/2bc\sin\alpha`, where `b` and `c` are the two sides and `\alpha` is the angle between them.

So `Area = 1/2 \times 5 \times 2 \times \sin((3\pi)/8)=4.62`.