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how do you find the area of a triangle in coordinate geometry. Is perimeter of the triangle abc Try this Drag any point ABC. The incenter O of the triangle ABC is continuously recalculated using the above formula.
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Lets find the area of a triangle when the coordinates of the vertices are given to us. Area of a triangle with vertices are 00 P a b and Q c d is. The area of the triangle is the space covered by the triangle in a two-dimensional plane.
Take origin of coordinate system at Aone of the corners of triangle ABC.
We have a formula which can be directly used on the vertices of triangle to find its area. This geometry video tutorial explains how to calculate the area of a triangle given the 3 vertices or coordinates of the triangle. Lets do this without having to rely on the formula directly. If x1 x2 x2 y2 and x3 y3 are the coordinates of vertices of triangle then Area of Triangle Now we can easily derive this formula using a small diagram shown below.
