9887
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Relation between the Areas of Four Triangles
Let ABC be a triangle. Let DEF be parallel to AC with D on AB and E on BC. Let FGH be parallel to AB with G on BC and H on AC. Then
, with the plus sign when F is outside of ABC and minus when F is inside.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
The statement of the theorem is in
Problem 97. Similar Triangles, Areas
.
RELATED LINKS
Area
(
Wolfram
MathWorld
)
Parallel
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Relation between the Areas of Four Triangles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ARelationBetweenTheAreasOfFourTriangles/
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 »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Relations between Some Triangles Associated with Excircles
Jay Warendorff
The Excentral Triangle and a Related Hexagon
Jay Warendorff
The Area of a Triangle as Half a Rectangle
Jay Warendorff
The Area of the Contact Triangle
Jay Warendorff
Two Triangles of Equal Area on Either Side of an Angle Bisector
Jay Warendorff
Total Areas of Alternating Subtriangles in a 2n-gon
Jay Warendorff
The Area of a Triangle inside the Incircle
Jay Warendorff
Medial Division of Triangles
Jay Warendorff
The Area of the Excentral Triangle
Jay Warendorff
The Area of the Incentral Triangle
Jay Warendorff
Related Topics
Area
Plane Geometry
Triangles
Browse all topics
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+