CONCLUSION for determinant to find area of regular shapes
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Imagine a triangle with vertices at (x1,y1), (x2,y2), and (x3,y3). If the triangle was a right-angled triangle, it would be pretty easy to compute the area of a triangle by finding one-half the product of the base and the height (area of triangle formula). However, when the triangle is not a right-angled triangle there are multiple different ways to do so. It turns out that the area of triangle formula can also be found using determinants.
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