Math CentralQuandaries & Queries


Question from elizabeth, a student:

how to calculate the area of a triangle using points ABC a (2,5) b ( -4,-3) c ( 6, -1)

Hi Elizabeth,

I plotted the three vertices and then surrounded the triangle by a rectangle $ABCD.$


The area of the triangle you sent is then the area of the rectangle $ABCD$ minus the area of the three pink triangles. Each of these triangles is a right triangle with sides parallel to the axes and thus their areas are easy to calculate.


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