11043
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Incircles in Right Triangles
This Sangaku from the Iwate prefecture is undated.
Take a right triangle. Draw the altitude from the right angle. This defines two new right triangles.
The sum of the radii of the incircles of the three triangles equals the length of the altitude.
The result is unexpected. The proof is not difficult.
Contributed by:
Claude Fabre
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Incircle
(
Wolfram
MathWorld
)
Right Triangle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Incircles in Right Triangles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/IncirclesInRightTriangles/
Contributed by:
Claude Fabre
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
Theorem of the Equal Incircles
Claude Fabre
Triangles: Acute, Right, and Obtuse
Jay Warendorff
How Many Right Triangles Can You Find?
Igor Mandric and Ecaterina Bunduchi
Six Incircles in an Equilateral Triangle
Jay Warendorff
Problems on Circles IX: Circumcircles and Incircles of a Triangle
Jaime Rangel-Mondragon
Dividing a Right Triangle by the Altitude to the Hypotenuse
Jay Warendorff
Mixtilinear Incircles
Jay Warendorff
Equal Incircles along a Line
Noel Patson
Altitudes and Incircles
Jay Warendorff
Area of a Triangle inside the Incircle
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+