Euclid's Muse

your source for INTERACTIVE math apps

Create an Account

Largest Outscribed Equilateral Triangle

Profile picture of Phil Todd

Phil Todd



Drag A,B, C to change the original triangle.  Press Play to watch a spring driven equilateral triangle gradually settle at the maximum perimeter position.

Press Show to see the perpendiculars to the sides of the equilateral triangle through A, B and C.

Note that the mechanism settles at a position where these perpendiculars are concurrent.

This is a problem from The Mathematical Gazette March 2014 pp 79-84.

Tags: Fermat, toricelli, equilateral, triangle
thumb Open Fullscreen
Download App Link Embed
Paste this code into your webpage as html:

« Discovering Pythagoras DG flower »

© Saltire Software Terms and Conditions