How to Calculate the Center of Gravity of a Triangle

Table of contents:

How to Calculate the Center of Gravity of a Triangle
How to Calculate the Center of Gravity of a Triangle
Anonim

This simple guide shows you how to find the center of gravity of a triangle.

Steps

Calculate the Center of Gravity of a Triangle Step 1
Calculate the Center of Gravity of a Triangle Step 1

Step 1. Measure one side of your triangle

Calculate the Center of Gravity of a Triangle Step 2
Calculate the Center of Gravity of a Triangle Step 2

Step 2. Identify and mark the midpoint of the side you measured

Call the point identified A.

Calculate the Center of Gravity of a Triangle Step 3
Calculate the Center of Gravity of a Triangle Step 3

Step 3. Draw a line starting from point A and arriving at the opposite vertex of the triangle

Calculate the Center of Gravity of a Triangle Step 4
Calculate the Center of Gravity of a Triangle Step 4

Step 4. Identify and mark the midpoint of another side of your triangle

Call the identified point B.

Calculate the Center of Gravity of a Triangle Step 5
Calculate the Center of Gravity of a Triangle Step 5

Step 5. Draw a line starting from point B and arriving at the opposite vertex of the triangle

Calculate the Center of Gravity of a Triangle Step 6
Calculate the Center of Gravity of a Triangle Step 6

Step 6. The point where the two lines intersect represents the center of gravity of your figure

Method 1 of 1: Use the Coordinates of the Vertices

Calculate the Center of Gravity of a Triangle Step 7
Calculate the Center of Gravity of a Triangle Step 7

Step 1. Add together all the X coordinates of the points that identify the vertices of your triangle

Calculate the Center of Gravity of a Triangle Step 8
Calculate the Center of Gravity of a Triangle Step 8

Step 2. Add together all the Y coordinates of the points that identify the vertices of your triangle

Calculate the Center of Gravity of a Triangle Step 9
Calculate the Center of Gravity of a Triangle Step 9

Step 3. Divide both results by number 3

Calculate the Center of Gravity of a Triangle Step 10
Calculate the Center of Gravity of a Triangle Step 10

Step 4. The pair of coordinates you obtained represents the coordinates of the center of gravity of your figure

For example, given the following coordinates of the vertices of the triangle: (3, 5), (4, 1) and (1, 0), the centroid will be the point indicated by the following coordinates (8/3, 2).

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