Area of a triangle (by the tangent of an acute or obtuse angle of the triangle)

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. The area of the scalene triangle can be calculated by the tangent of one of its angles (not 90 degrees) and the lengths of the sides of the triangle.
(The tangent of an angle (not 90 degrees) to any right triangle that contains the angle, is the ratio of the length of the opposite side to the length of the adjacent side of the right triangle)

Related formulas

Variables

AArea of the triangle (m2)
αAngle acute or obtuse of the triangle (degree)
bSide of the triangle (m)
cSide of the triangle (m)
aSide of the triangle (m)