Triangle
Centroid of Triangle
The centroid of a triangle in a co-ordinate system can be expressed as
x s = (x 1 + x 2 + x 3 ) / 3 (1)
y s = (y 1 + y 2 + y 3 ) / 3 (1b)
Area of Triangle
The area of the triangle can be expressed as
A = | ((x 1 y 2 - x 2 y 1 ) + (x 2 y 3 - x 3 y 2 ) + (x 3 y 1 - x 1 y 3 )) / 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 P 1 (0,0), P 2 (1,1) and P 3 (1,0.5) can be calculated as
x s = (0 + 1 + 1 ) / 3
= 0.67
y s = (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
Related Topics
• Mathematics
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
Related Documents
Beam Loads - Support Force Calculator
Calculate beam load and supporting forces.
Cartesian Coordinate System - Distance and Intermediate Position Between Two Points
Distance and intermediate position between two point in a cartesian x and y coordinate system.
Center of Gravity
A body and the center of gravity.
Complex Numbers
Complex numbers are used in alternating current theory and mechanical vector analysis.
Law of Cosines
One side of a triangle when the opposite angle and two sides are known.
Law of Sines
Calculate the angles in a generic triangle.
Law of Tangents
Triangles and law of tangents.
Miter Saw - Calculate Sawing Angle
Calculate miter saw protractor angles for skirting and decorative mouldings work.
Oblique Triangle
Calculate oblique triangles.
Polar vs. Cartesian Coordinates
Convert between Cartesian and Polar coordinates.
Pythagorean Theorem
Verifying square corners.
Radians vs. Degrees
Radian is the SI unit of angle. Convert between degrees and radians. Calculate angular velocity.
Right Angled Triangle
Right angled triangle equations.