Showing posts with label triangle. Show all posts
Showing posts with label triangle. Show all posts

Thursday, April 26, 2012

Arcs and Triangles

Given isosceles triangle ABC whose length of the shorter leg is n, and arcs center at B and C, what is the area of the shaded part?
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Download File

Tuesday, January 17, 2012

Squaring a Convex Polygon

This applet constructs a triangle with an area equal to the area of any convex polygon ABCDEF. The applet Squaring a Triangle shows how any triangle can be transformed to a square with an equal area. The combination of these two constructions shows how to square any convex polygon.

  • Click on point F.
  • Drag F to the right as far as it can go.
  • Repeat these two steps three times, until the triangle is constructed.
To repeat the construction,  press the "Reset" button or click again on the vertex F of the triangle.




Author: Irina Boyadzhiev   The Ohio State University at Lima
For more details click here.

Download GGB File

Monday, January 16, 2012

Squaring a Triangle

This applet shows the construction of a square with the same area as a given triangle.
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Author: Irina Boyadzhiev of Ohio State University.

Download GGB File

Tuesday, October 25, 2011

Blanchet Theorem

In triangle ABC, Point E is an arbitrary point on altitude AD. Move point A, B, C or E and observe what happens.
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
Make a conjecture about your observation. Prove your conjecture.


Friday, April 29, 2011

Moving The Triangle Sides



an applet that moves the triangle sides in given distance.









Open the applet in a new tab.
Download the applet.

theorhma.blogspot.com

Saturday, October 23, 2010

Circumcircle and Incircle of a Triangle

This GeoGebra worksheet below shows that in a triangle, you can always create an incircle (a circle inside the triangle tangent to the tree sides) and a circumcircle (circle passing through the three vertices).

Drag the vertices of the triangle and observe what happens.



You can download the ggb file here and the tutorial how to construct it here.