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?

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Answer 1 · 2018-07-04T17:25:21

$2.474873734\ \text{unit}^2$

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

$=1/2ab\sin C$

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

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

$=7/{2\sqrt2}$

$=2.474873734$

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