Area calculations
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== Area of Triangle == | == Area of Triangle == | ||
| - | <p>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 <br>by the vector cross product of vectors along two sides of the triangle sharing a common vertex. <br>For the above mentioned triangle we have three sides as AB, BC and CA, the area of triangle is given by:<br> | + | <p>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 <br>by the vector-cross-product of vectors along two sides of the triangle sharing a common vertex. <br>For the above mentioned triangle we have three sides as AB, BC and CA, the area of triangle is given by:<br> |
Area of Triangle ABC = 1/2 ABS( AB x AC ) ; <br> | Area of Triangle ABC = 1/2 ABS( AB x AC ) ; <br> | ||
AB = Vector from vertex A to vertex B <br> | AB = Vector from vertex A to vertex B <br> | ||
Revision as of 08:28, 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.
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.
