Triangle Centroid Calculator

X1: Y1:
X2: Y2:
X3: Y3:
Center of gravity (G)

What is a Triangle Centroid Calculator?

A Triangle Centroid Calculator is a tool that calculates the centroid (geometric center) of a triangle given its three vertices. The centroid is the point where the three medians of the triangle intersect, and it represents the triangle’s center of mass.

Why Use a Triangle Centroid Calculator?

  1. Quick and Accurate Calculations – Avoids manual errors in finding the centroid.
  2. Useful for Geometry and Physics – Helps in balance, center of mass, and geometric constructions.
  3. Visualization – Some tools provide a graphical representation of the centroid.
  4. Applicable in Engineering & Design – Used in structural analysis and material balancing.

How Does a Triangle Centroid Calculator Work?

  1. Input the Three Vertices – Enter the coordinates (x1,y1), (x2,y2), and (x3,y3).
  2. Apply the Centroid Formula –
  3. Compute the Centroid – The tool calculates the coordinates (Cx,Cy).
  4. Display Results – Some calculators also graph the triangle with its centroid.

When is a Triangle Centroid Calculator Used?

  • In mathematics & geometry – To find the center of any triangle.
  • In physics & engineering – To determine the center of mass.
  • In architecture & design – For structural balance in constructions.
  • In robotics & AI – For spatial calculations and movement analysis.