Triangle
Triangle analytical geometry.
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Centroid of Triangle
The centroid of a triangle in a co-ordinate system can be expressed as
xs = (x1 + x2 + x3) / 3 (1)
ys = (y1 + y2 + y3) / 3 (1b)
Area of Triangle
The area of the triangle can be expressed as
A = | ((x1 y2 - x2 y1) + (x2 y3 - x3 y2) + (x3 y1 - x1 y3)) / 2 | (2)
Triangle Calculator
| Point | x | y |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| Centroid | ||
| Area | ||
Example - Centroid and Area of Triangle
The centroid of a triangle with points P1(0,0), P2(1,1) and P3(1,0.5) can be calculated as
xs = (0 + 1 + 1) / 3
= 0.67
ys = (0 + 1 + 0.5) / 3
= 0.5
The area can be calculated as
A = | ((0 1 - 1 0) + (1 0.5 - 1 1) + (1 0 - 0 0.5)) / 2 |
= 0.25
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