If sides A and B of a triangle have lengths of 3 and 4 respectively, and the angle between them is $(7pi)/8$ , then what is the area of the triangle?

Question

1529 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-04T09:44:18

$color(crimson)(Area = 2.3 " sq units"$

$a = 3, b = 4, hat C = (7pi)/8, Area = ?$

$Area = (1/2) * a * b * sin C$

$=> (1/2) * 3 * 4 * sin((7pi)/8) = 2.3 " sq units"$

If sides A and B of a triangle have lengths of 3 and 4 respectively, and the angle between them is (7pi)/8(7pi)/8, then what is the area of the triangle?