11471
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Viviani's Theorem
Let ABC be an equilateral triangle and let P be a point inside ABC. Draw perpendiculars PA', PB', and PC' from P to the sides of ABC. Because ABC is equilateral, the altitudes all have the same length; call that
. Then PA' + PB' + PC' =
.
Drag P or the slider to change the figure.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
Gamepad Controls
SNAPSHOTS
RELATED LINKS
Viviani's Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Viviani's Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VivianisTheorem/
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
Napoleon's Theorem
Jay Warendorff
Nagel's Theorem
Jay Warendorff
Stewart's Theorem
Jay Warendorff
Routh's Theorem
Jay Warendorff
Miquel's Theorem
Jay Warendorff
Menelaus' Theorem
Jay Warendorff
Ceva's Theorem
Jay Warendorff
Simson's Theorem
Jay Warendorff
Cross's Theorem
Jay Warendorff
Kosnita's Theorem
Jay Warendorff
Related Topics
Plane Geometry
Triangles
High School Geometry
High School Mathematics
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+