10680
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Relation between Incircles and Excircles
Let ABC be a triangle and M be a point on BC. Let
,
, and
be the radii of the incircles of the triangles ACM, ABM, and ABC and let
,
, and
be the radii of the corresponding excircles tangent to BC. Then
.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
This is problem 1 from the
12-th International Mathematical Olympiad
.
RELATED LINKS
Excircles
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Relation between Incircles and Excircles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ARelationBetweenIncirclesAndExcircles/
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
Relations between Some Triangles Associated with Excircles
Jay Warendorff
Another Relation between the Areas of Triangles Associated with an Excircle
Jay Warendorff
A Parallelogram Related to the Excircles
Jay Warendorff
A Relation between the Contact Triangles of a Triangle
Jay Warendorff
A Collinearity Involving an Excircle, the Incircle, and the Circumcircle
Jay Warendorff
Mixtilinear Incircles
Jay Warendorff
Concurrent Line Segments Related to the Incircle
Jay Warendorff
Concyclic Points Related to a Midpoint and the Incircle
Jay Warendorff
Altitudes and Incircles
Jay Warendorff
The Semiperimeter and Tangents to Excircles
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+