ClarityHow to use this tool
- Enter vertex a x, vertex a y, vertex b x, vertex b y, vertex c x, vertex c y.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
The method, explained
Centroid coordinates are the arithmetic averages of the three vertex coordinates. Area is half the absolute 2D cross product of AB and AC.
Using vertex a x = 0, vertex a y = 0, vertex b x = 6, vertex b y = 0, vertex c x = 0, vertex c y = 6, the result is (2, 2). Change these example inputs to match your task; use the method above to check each step.
Understanding your result
It lies at the intersection of the three medians and is inside every non-degenerate triangle. It divides each median in a two-to-one ratio from the vertex.
What to keep in mind
Uniform planar triangle. This is the centroid, not the circumcenter, incenter or weighted center of mass. Use the indicated units consistently. Ideal shapes are assumed; dimensions must describe the same object. Display rounding does not increase measurement precision.
Common questions
Where is the centroid located?
It lies at the intersection of the three medians and is inside every non-degenerate triangle. It divides each median in a two-to-one ratio from the vertex.
How can I check the result?
Centroid coordinates are the arithmetic averages of the three vertex coordinates. Area is half the absolute 2D cross product of AB and AC. The worked example uses editable inputs. Calculations run on your device; no external API or account is required.
Methodology maintained by ClarityKit. How these tools are built and checked.