Find a triangle's balance point from three coordinates fast. See medians, lengths, and classifications clearly. Plot vertices, inspect geometry, and download polished results instantly.
Provide the coordinates of vertices A, B, and C. The calculator finds the centroid, medians, side lengths, area, perimeter, slopes, and triangle classification.
| Vertex A | Vertex B | Vertex C | Centroid | Area | Type |
|---|---|---|---|---|---|
| (0, 0) | (6, 0) | (0, 3) | (2.0000, 1.0000) | 9.0000 | Scalene / Right |
| (1, 2) | (5, 4) | (7, 1) | (4.3333, 2.3333) | 8.0000 | Scalene / Obtuse |
| (-2, 1) | (4, 5) | (3, -3) | (1.6667, 1.0000) | 22.0000 | Scalene / Acute |
Centroid: G = ((x1 + x2 + x3) / 3, (y1 + y2 + y3) / 3)
Area: A = |x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)| / 2
Distance Formula: d = √((x2 − x1)2 + (y2 − y1)2)
Median Length: ma = 1/2 √(2b2 + 2c2 − a2)
Perimeter: P = AB + BC + CA
The centroid is the common intersection point of the three medians. It represents the triangle’s balance point and always lies inside any valid triangle.
Add the three x-values and divide by three. Then add the three y-values and divide by three. The resulting pair gives the centroid coordinates.
Yes. It accepts integers, decimals, and negative values. That makes it suitable for coordinate geometry problems across all four quadrants.
If the three points are collinear, they do not form a real triangle. In that case, the area becomes zero, so a centroid for a triangle is not valid.
It also computes area, perimeter, side lengths, median lengths, side slopes, midpoint coordinates, centroid-to-vertex distances, and triangle classifications.
Yes. For every valid triangle, the centroid lies inside the shape because each median connects a vertex to the midpoint of the opposite side.
The Plotly graph displays the triangle edges, labeled vertices, the centroid point, midpoints, and medians. It helps verify the geometry visually.
They export the calculated values shown in the results table. This makes it easier to save, share, print, or document geometry work.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.