10657
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Four Collinear Points Related to the Altitudes
Let ABC be a triangle. Let A', B', and C' be the feet of the altitudes from A, B, and C. Let P and Q be the projections of A' to AB and AC. Let R and S be the projections of A' to BB' and CC'. Then P, Q, R, and S are collinear.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See problem 5 in N. Altshiller-Court,
College Geometry
, Mineola, NY: Dover, 2007 p. 99.
RELATED LINKS
Altitude
(
Wolfram
MathWorld
)
Collinear
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Four Collinear Points Related to the Altitudes
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FourCollinearPointsRelatedToTheAltitudes/
Contributed by:
Jay Warendorff
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 Altitudes of Four Triangles
Jay Warendorff
An Altitude and Four Concyclic Points
Jay Warendorff
Four Concyclic Points
Jay Warendorff
Concyclic Points Derived from Midpoints of Altitudes
Jay Warendorff
Concyclic Points from Reflections of the Circumcenter about the Altitudes
Jay Warendorff
A Collinearity between the Nine-Point Center, the Foot of an Altitude, and a Midpoint
Jay Warendorff
Collinear Orthocenters
Jay Warendorff
Altitudes and Incircles
Jay Warendorff
Products of Segments of Altitudes
Jay Warendorff
Triangle Altitudes and Circumradius
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+