11403
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Area of a Triangle inside the Incircle
Let ABC be a triangle and let
be the radius of its incircle with center I. Let D and E be the feet of the perpendiculars from I onto AB and AC, respectively. Then
.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
The statement of the theorem is in
Problem 80. Triangle Area, Incircle, Inradius, Sides
.
RELATED LINKS
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Area of a Triangle inside the Incircle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheAreaOfATriangleInsideTheIncircle/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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 Area of the Contact Triangle
Jay Warendorff
The Area of the Excentral Triangle
Jay Warendorff
The Area of the Pedal Triangle of the Centroid
Jay Warendorff
The Area of a Triangle as Half a Rectangle
Jay Warendorff
The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle
Jay Warendorff
On the Areas of Triangles Associated with an Excircle
Jay Warendorff
A Relation between the Areas of Four Triangles
Jay Warendorff
Another Relation between the Areas of Triangles Associated with an Excircle
Jay Warendorff
The Product of the Inradius and Semiperimeter of a Triangle
Jay Warendorff
Largest Isosceles Triangle Inscribed in a Circle
Jay Warendorff
Related Topics
Area
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+