8.10 The student will
a) verify the Pythagorean Theorem, using diagrams, concrete materials, and measurement; and
b) apply the Pythagorean Theorem to find the missing length of a side of a right triangle when given the lengths of the other two sides.

On-line Practice

Multiple Choice Practice

Investigation Pages

Virtual Manipulative Activities

  • NCTM The interactive figure in this activity can help students understand the Pythagorean relationship and gives them experience with transformations that preserve area but not shape.
  • Matti This allows you to walk through a visual proof of the Pythagorean theorem. Click on the Pythagorean Theorem from the menu.

Other Web Sites

  • ShodorSite 1
  • ExploreLearning Teachers have to assign the Pythagorean Theorem-Activity A to their classes. Students should read the Exploration Guide.
  • Larson´s Software Students need to be enrolled by their teachers. Click on the Algebraic Connections to Geometry, then click on The Pythagorean Theorm and its Converse. Do the See It, Try It, and Zap It.

Spreadsheets

Two self-checking Spreadsheet Activities. Fill-in the yellow cells and find out if you are correct.
1. Triangles
2. Rectangles

Lesson 4-3: Pythagorean Theorem

You see a right-angled triangles with sides a, b and hypotenuse c.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and activated. (click here to install Java now)

Drag the sliders (AC and AB) to change the area of each square. What do you notice about the sum of Area 1 and Area 2?

Now change AC to 8 and AB to 6. What is the length of AC?

Write down your conjectures!