Question

To verify the formula for the area of a
triangle by graphical method.

Answer 1

Step-by-step explanation:

In Geometry, a triangle is a three-sided polygon that has three edges and three vertices. The area of the triangle is the space covered by the triangle in a two-dimensional plane. The formula for the area of a triangle is (1/2) × base × altitude. Let's find out the area of a triangle in coordinate geometry.

What Is the Area of a Triangle in Coordinate Geometry?

Coordinate geometry is defined as the study of geometry using coordinate points. The area of a triangle in coordinate geometry can be calculated if the three vertices of the triangle are given in the coordinate plane. The area of a triangle in coordinate geometry is defined as the area or space covered by it in the 2-D coordinate plane. Let us understand the concept of the area of a triangle in coordinate geometry better using the example given below,

Consider these three points: A(−2,1), B(3,2), C(1,5). If you plot these three points in the plane, you will find that they are non-collinear, which means that they can be the vertices of a triangle, as shown below:

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