centroid calculation

Let us learn about centroid calculation

-->Centroid is same as the center of a given geometric picture. In a triangle the centroid is always meeting point of all medians of a triangle. The median is a line segment from the midpoint of 1 of the side to its opposite vertex. Another name of centroid calculation is centre of gravity & centre of mass

Find the centroid calculation for the vertices are (1, 0), (3, 1), (5, 0), (4, -2) and (2, -2)

Solution: The given vertices are as follows: (1, 0), (3, 1), (5, 0), (4, -2) and (2, -2)

Let us consider (1, 0) as (x₁, y₁), (3, 1) as (x₂, y₂), (5, 0) as (x₃, y₃), (4, -2) as (x₄, y₄) and (2, -2) as (x₅, y₅)

The formula to find the centroid with five vertices is

(x1+x2+x3+x4+x5 y1+y2+y3+y4+y5)

5 , 5

= (1+3+5+4+2 0+1+0 -2-2)

5 , 5

= ( 3, -0.6)

In our next blog we shall learn about kingdom plantae characteristics I hope the above explanation was useful.Keep reading and leave your comments.