-Set green leg (side) of the triangle equal to 3. [br]-Set the blue leg(side) of the triangle equal to 4. [br][br]What is the length of the red side (hypothenuse) of the triangle? [br][br][br]What is the area of the green square?[br][br][br]What is the area of the blue square?[br][br][br]What is the area of the red square?[br]

Keeping the same measures of the triangle as the previous question. Do you find a relationship between the area of the blue triangle, the green triangle and the red triangle?

-Set blue leg (side) of the triangle equal to 5. [br]-Set the green leg(side) of the triangle equal to 12. [br][br]What is the length of the red side (hypotenuse) of the triangle? [br][br][br]What is the area of the green square?[br][br][br]What is the area of the blue square?[br][br][br]What is the area of the red square?[br]

Keeping the same measures of the triangle as the previous question. Do you find a relationship between the area of the blue triangle, the green triangle and the red triangle?

- Move the green and the blue leg of the triangle to any number you like. [br][br]What's the length of the green leg of the triangle?[br][br]What's the length of the blue leg of the triangle? [br][br]What's the length of the red hypotenuse of the triangle?[br][br]

On your last triangle, let... [br][br]a = the blue leg of the triangle[br][br]b = the green leg of the triangle [br][br]c = the red hypotenuse of the triangle. [br][br]Square each of the three numbers. Do you see any relationship between the three squared numbers? [br]

Based on what you have done today... write a rule that has the following pieces...[br][br][math]_{a^2}[/math] [math]_{b^2}[/math] [math]_{c^2}[/math] [br]