Wolfram Demonstrations Project
8759

The Midpoints of Two Cevians

A cevian is a line drawn from a vertex of a triangle to the opposite side.
Let ABC be a triangle and let M and N be the midpoints of the cevians BB' and CC'. Then the area of the quadrilateral BC'B'C is 4 times the area of AMN.

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

The statement of the theorem is in Problem 90. Quadrilateral and Triangle Areas, Midpoints.

RELATED LINKS

PERMANENT CITATION

"The Midpoints of Two Cevians" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TheMidpointsOfTwoCevians/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez
    • Share:

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 »

Files require Wolfram CDF Player or Mathematica.





Related Topics
 
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.
Powered by Wolfram Mathematica © 2013 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+