10182
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Inscribing Four Circles in a Triangle
Inscribe a circle in a triangle; let
denote its radius. Construct tangents to the inscribed circle parallel to the sides of the triangle. Construct inscribed circles within each of the smaller triangles with radii
,
, and
. Then
.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Inscribing Four Circles in a Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/InscribingFourCirclesInATriangle/
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
Largest Isosceles Triangle Inscribed in a Circle
Jay Warendorff
The Radii of Four Incircles
Jay Warendorff
Pairwise Tangent Circles Centered at the Vertices of a Triangle
Jay Warendorff
The Circumcircles of Four Triangles
Jay Warendorff
A Triangle Formed by the Centers of Three Circles
Jay Warendorff
A Relation between Altitudes of Four Triangles
Jay Warendorff
The Triangle Formed by the Centers of the Miquel Circles
Jay Warendorff
A Parallelogram Defined by the Centers of Four Incircles
Jay Warendorff
A Relation between the Areas of Four Triangles
Jay Warendorff
A Triangle Formed by the Centers of Three Nine-Point Circles
Jay Warendorff
Related Topics
Plane Geometry
Triangles
High School Geometry
High School Mathematics
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-C.A.3
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+