Area of a triangle (by the one side and the sines of the triangle's angles)

Description

A triangle is a polygon with three edges and three vertices. In a scalene triangle, all sides are unequal and equivalently all angles are unequal. When the one of the sides of the scalene triangle and the three angles are givin, the area of the triangle can be calculated by this side and the sines of the angles of the triangle.

Related formulas

Variables

AArea of the triangle (m2)
aThe side of the triangle opposite angle A (m)
βAngle of the triangle opposite side b (degree)
γAngle of the triangle opposite side c (degree)