Application of Matrix 3 x 3
Interactive Calculator
Solve for the area of a triangle given only the coordinates of its three points.
using 1/2 of absolute value of determinant of matrix 3 x 3, you can compute the area of a triangle given only the coordinates of three points. The calculator below automatically divided the absolute value of determinant of 3 x 3 by 2.
Memory recall lesson learned about area of a triangle = absolute value of (Determinant of 3x3 matrix ) /2 . Remember in Geometry: Area of Triangle Formula =(1/2) x base x height
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Now that you know how to compute the area of triangle using the coordinates of its three points. Where are you going to use that knowledge? If your computed area is zero therefore you are sure that the three points did not form a triangle but rather a line segment. the three points are colinear.
Use the above calculator and compute the area of three colinear points.
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