Wolfram Demonstrations Project

For any triangle ABC take a point P inside ABC. Let

be the sum of the distances from P to the vertices and let

be the sum of the distances from P to the sides of ABC. Then

, with equality holding if and only if ABC is equilateral and P is its centroid.

Contributed by: Jay Warendorff

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

US Common Core State Standards, Mathematics

RELATED RESOURCES

Mathematica » The #1 tool for creating Demonstrations and anything technical.	Wolfram\|Alpha » Explore anything with the first computational knowledge engine.	MathWorld » The web's most extensive mathematics resource.	Course Assistant Apps » An app for every course— right in the palm of your hand.
Wolfram Blog » Read our views on math, science, and technology.	Computable Document Format » The format that makes Demonstrations (and any information) easy to share and interact with.	STEM Initiative » Programs & resources for educators, schools & students.	Computerbasedmath.org » Join the initiative for modernizing math education.
Step-by-Step Solutions » Walk through homework problems one step at a time, with hints to help along the way.	Wolfram Problem Generator » Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.	Wolfram Language » Knowledge-based programming for everyone.

The Erdös-Mordell Inequality