How Do I Run This Applet?

This applet allows users to explore right triangles and the Pythagorean Theorem. The applet can also be used to explore the angle measurements of triangles.

This java applet requires a java-capable browser. If you don't see the applet, Java may not be functional in your browser or on your machine.

Object of the activity

The object of this activity is to develop an understanding of the Pythagorean Theorem. The applet displays a right triangle with a square against each side. Each square has sides that are equal in length to the side of the triangle it is against. By adjusting the lengths of the sides of the triangle, the user can visually experience the Pythagorean Theorem.

Controls and Output

• By adjusting the scrollbars the user can change the lengths of the bases of the red triangle:
  
• Observe how the triangle changes and how the squares change in area. What is the relationship between the squares?
  
• The information at the bottom of the applet is provided to help the user form an understanding of the relationship of the areas of the squares and the lengths of the sides. The user may also make discoveries about the nature of angles in triangles.