10657
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Relation between Altitudes of Four Triangles
Let ABC be a triangle and DEF be parallel to AC and FGM be parallel to AB. Let AH, DN, FP, and MQ be altitudes in triangles ABC, DBE, FEG, and MGC respectively. 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 91. Similar Triangles, Altitudes, Parallel
.
RELATED LINKS
Altitude
(
Wolfram
MathWorld
)
Parallel
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Relation between Altitudes of Four Triangles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ARelationBetweenAltitudesOfFourTriangles/
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
A Relation between the Areas of Four Triangles
Jay Warendorff
Four Collinear Points Related to the Altitudes
Jay Warendorff
A Relation between the Contact Triangles of a Triangle
Jay Warendorff
Triangle Altitudes and Circumradius
Jay Warendorff
Triangle Altitudes and Inradius
Jay Warendorff
The Circumcircles of Four Triangles
Jay Warendorff
A Triangle Inequality Involving the Altitudes, Semiperimeter, Inradius, and Circumradius
Jay Warendorff
An Altitude and Four Concyclic Points
Jay Warendorff
The Incircle and the Altitudes of a Triangle
Jay Warendorff
Altitudes and Incircles
Jay Warendorff
Related Topics
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+