Halving a Triangle

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

A median divides a triangle into two halves with equal area. The three medians (shown in blue) meet at the centroid, or center of gravity. Oddly, not all lines passing through the centroid divide the triangle in half. If such a line is parallel to an edge, the division is 4/9 and 5/9. The lines dividing a triangle in half (shown in green) envelope a deltoid made of three hyperbolic arcs.

Contributed by: Ed Pegg Jr. (September 2007)
Based on a program by Henry Bottomley.
Open content licensed under CC BY-NC-SA



Adapted from: Henry Bottomley, "Medians and Area Bisectors of a Triangle."

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.