Area of Triangle With Coordinates

Hello friends,

First part of this series is about Distance Formula which is used to find the distance between two points.

Hope you all are doing great. Today we are going to calculate the area of triangle. You will be thinking what's big deal about that. Given the Height & Base of triangle, one can easily find the area.
But what happens if you are given the coordinates of the vertices of the triangle instead of height & base.

In this post, we are going to learn how to calculate the area of triangle with the coordinates of the vertices of triangle.

But first, lets understand what edges & vertices mean?

Vertices: The end points of the triangle are known as triangles. It can also be said that the endpoints of sides of triangle is known as vertices.

Edges: The sides of the triangle are known as the edge of the triangle. The line connecting the vertices of the triangle (or any other polygon) is known as edge.

In order to find the area of triangle in the above figure, we use the given equation:

where x1, x2, y1, y2, x3, y3 are the vertices of the triangle.

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