10854
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Altitudes and Incircles
Let ABC be an acute triangle with altitudes AA', BB', and CC'. The sum of the altitudes is equal to the sum of the semiperimeter
and the radii
of the six incircles of the triangles XYZ formed by the altitudes and the sides:
.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Altitude
(
Wolfram
MathWorld
)
Acute Triangle
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Altitudes and Incircles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AltitudesAndIncircles/
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
The Incircle and the Altitudes of a Triangle
Jay Warendorff
Mixtilinear Incircles
Jay Warendorff
Triangle Altitudes and Inradius
Jay Warendorff
A Triangle Inequality Involving the Altitudes, Semiperimeter, Inradius, and Circumradius
Jay Warendorff
Triangle Altitudes and Circumradius
Jay Warendorff
Incircles and a Cevian
Jay Warendorff
Products of Segments of Altitudes
Jay Warendorff
The Radii of Four Incircles
Jay Warendorff
A Relation between Altitudes of Four Triangles
Jay Warendorff
Six Incircles in an Equilateral Triangle
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+