Pythagorean Theorem:
1. Find the length of the sides of the smaller 2 squares in #3 and write them on the diagram in #3.
2. We can find the length of the sides of the biggest square in #3 by dividing it up into triangles as shown below in the diagram.
Draw this in the biggest square in #3 and find the area of the 4 triangles (b x h / 2) and the middle square (b x h).
3. Once you know the area of the biggest square, then you know the lengths of the sides because it is a square, so all sides are the same.
4. How are the areas of the smaller squares related to the area of the biggest square? Do you notice something?
5. If a = the side of one small square and b = the side of the other small square and c = the side of the biggest square, then how could you write an equation using a, b, and c with exponents?
This is the Pythagorean Theorem for all Right Triangles. ____________________
What did you learn about using the Pythagorean Theorem from this lesson?