Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.


Sponsored Links

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

Triangle Calculator


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

Sponsored Links

Related Topics


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.

Sponsored Links

Search Engineering ToolBox

  • the most efficient way to navigate the Engineering ToolBox!

SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!


We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

Google use cookies for serving our ads and handling visitor statistics. Please read Google Privacy & Terms for more information about how you can control adserving and the information collected.

AddThis use cookies for handling links to social media. Please read AddThis Privacy for more information.