How to use the triangle centroid calculator
Find the centre of mass (centroid) of a triangle from the coordinates of its three corners. Enter vertex a x, vertex a y, vertex b x, vertex b y, vertex c x, vertex c y in the fields above; the centroid x, centroid y are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “triangle centroid”, “centre of mass triangle”, “average of vertices”, “calculate triangle centroid”, “find centroid x”.
Formula
Variables
- x1 — Vertex A x
- y1 — Vertex A y
- x2 — Vertex B x
- y2 — Vertex B y
- x3 — Vertex C x
- y3 — Vertex C y
Worked example
With vertex a x = 0, vertex a y = 0, vertex b x = 6, vertex b y = 0, vertex c x = 3, vertex c y = 9, the calculator gives centroid x ≈ 3; centroid y ≈ 3.
Frequently asked questions
What is the triangle centroid calculator used for?
Find the centre of mass (centroid) of a triangle from the coordinates of its three corners. It helps with questions such as “triangle centroid”, “centre of mass triangle”, “average of vertices”.
What is the formula for the triangle centroid calculation?
Centroid x = (x1+x2+x3) / 3. Centroid y = (y1+y2+y3) / 3. Here x1 is vertex a x, y1 is vertex a y, x2 is vertex b x, y2 is vertex b y, x3 is vertex c x, y3 is vertex c y.
What inputs do I need for the triangle centroid calculator?
You need vertex a x, vertex a y, vertex b x, vertex b y, vertex c x, vertex c y. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the triangle centroid calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the triangle centroid result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.