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How to Determine the Area of a Triangle Based on Coordinates of Its Vertices & Determinants. Part of the series: Finding and Using the Area of a Triangle. You can use the coordinates of a triangle's vertices and determines, along with a very specific rule, to find out its area. Determine the area of a triangle based on the coordinates of its vertices and determinants with help from an experienced math tutor in this free video clip. Read more: http://www.ehow.com/video_12214812_determine-area-triangle-based-coordinates-its-vertices-determinants.html