Triangle
Triangle analytical geometry.
Centroid of Triangle
The centroid of a triangle in a co-ordinate system can be expressed as
x s = (x1 + x2+ x3 ) / 3 (1)
y s = (y1 + y2+ y3 ) / 3 (1b)
Area of Triangle
The area of the triangle can be expressed as
A = | ((x1 y2- x2y1 ) + (x2y3 - 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
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.
