Pythagorean Theorem GeoGebra Lesson

Pythagorean Theorem
The Pythagorean Theorem is a geometric theorem that states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. [br][br]           [math]a^2+b^2=c^2[/math]
Move the slider to see how the shape changes.
What is the relationship between the areas of the three squares?
Drag the red points to see how the shape changes now.
We know that this set up can be used to represent the Pythagorean Theorem. What do you notice about the type of triangle created every single time?
Create a right triangle whose hypotenuse is the square root of 18.
After creating the right triangle with a hypotenuse equal to the square root of 18, explain your steps. What strategies were used to ensure you had the correct measurement of the hypotenuse?
Wrapping it up
If you know the lengths of the two short sides of a right triangle, how could you find the length of the longest side (hypotenuse)?
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