Because of the way the triangles
intersect, the square has a square hole with the side (a-b).
But we will work on
only one.
Putting them together with their new rotations will form a square in the center.
We will start with four
copies of the same triangle
the outside of the larger square is
made entirely of "c" sides
Now, we will rotate each one so that they are 90, 180, and 270 degrees of the first triangle.
Each has an area of ab/2.
What do we use the
Pythagorean Theorem for?
There are many proofs for the Pythagorean Theorem...
Summing up its area (a-b)^2 and 2ab, the area of the four triangles (4*ab/2)
Now we get...
What is the Pythagorean
Theorem?
Let's review and learn more with a video!
Now we move onto formulas and equations.
Pythagorean Theorem
Proof #3
THE END!!!
The Pythagorean Theorem
is a theorem about right
triangles.
Sources:
google.com/images
http://www.cut-the-knot.org/pythagoras/index.shtml
http://jwilson.coe.uga.edu/EMT668/emt668.student.folders/HeadAngela/essay1/Pythagorean.html
Megan Kasper
2013