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GeoGebraClasse GeoGebra

Pythagorean Theorem and Converse Exploration

Exploration #1: Drag the dots to match up the colors. What do you notice?

Exploration #2:

How do the areas of the two smaller squares relate to the area of the larger square? How do the areas of the squares relate to the side of the triangle they're attached to? Move the point at the right angle of the triangle to change the leg lengths of the triangle and test your theory using the slider.

Exploration #3: Click and drag the red points to see how the shape changes.

Exploration #4: Now apply the concept to a right triangle. Drag the points to see how the shape changes yet always satisfies the Pythagorean Theorem.