Pythagorean Theorem Visual

1. What does the yellow area represent?

the area for a square with side c c[math]^2[/math] a[math]^2[/math] a Cheez-it

2. What does the multi-colored square in the top right represent?

b the area for a square with side b the area of c c[math]^2[/math]

3. What does the mostly white area represent?

the area for a square with side c c[math]^2[/math] all of the above none of the above the area for a square with a hypotenuse for a side

Directions

Click on the small circles of color [b][color=#ff0000]in the top 2[/color][/b] [b][color=#ff0000]squares[/color][/b] and drag them to the matching color circle in the bottom square.

4. What do you notice after you pull down all of the colors into the bottom square?

The combined colored sections slightly overfill the bottom square. The combined colored sections do NOT form a square. The combined colored sections fill the bottom square exactly. The combined colored sections do NOT quite fill the bottom square.

5. Look at your answer for number 4. Using mathematics, explain why the correct answer for number 4 is a true statement.

6. Look at the picture below. Based on what you learned from this app, how long would the longest side of the triangle have to be? Explain your answer.

Pythagorean Theorem Visual

Pythagorean Theorem Visual

Directions

Information: Pythagorean Theorem Visual