Sections:

Area and Length, Page 2

Formulas for the Area of a Triangle Triangles

Let triangle ABC be any triangle, with a, b, and c representing the measures of the sides opposite angles A, B, and C. The area of the triangle is defined as K and can be found by one of the following equations:

K = 1/2 bc sinA; K = 1/2 ab sinC; K = 1/2 ac sinB;                 K = 1/2 a^2 (sinBsinC/sinA); K = 1/2 b^2 (sinAsinC/sinB);    K = 1/2 c^2 (sinAsinB/sinC)