Question

If sides A and B of a triangle have lengths of 1 and 7 respectively, and the angle between them is `(pi)/4`, then what is the area of the triangle?

Answer 1

`2.474873734\ \text{unit}^2`

Explanation:

If `C=\pi/4` is the angle between two sides `a=1` & `b=7` of a triangle then the area of triangle is given as follows

`=1/2ab\sin C`

`=1/2(1)(7)\sin(\pi/4)`

`=7/2\frac{1}{\sqrt2}`

`=7/{2\sqrt2}`

`=2.474873734`