# Area calculations

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## Revision as of 08:43, 12 September 2005

## Area of Triangle

The area of a triangle made up of three vertices A(x1,y1,z1), B(x2,y2,z2) and C(x3,y3,z3) can be represented

by the vector-cross-product of vectors along two sides of the triangle sharing a common vertex.

For the above mentioned triangle we have three sides as AB, BC and CA, the area of triangle is given by:

Area of Triangle ABC = 1/2 ABS( AB x AC ) ;

AB = Vector from vertex A to vertex B.

AC = Vector from vertex A to vertex C.

ABS( X ) = function returns absolute value of X.

## Area of Polygonal Surface

A polygon can be divided into triangles sharing a common vertex of the polygon. The total area of the polygon

can be approximated by sum of all triangle-areas it is made up of.