# The Pythagorean Theorem!!

Document Sample

```					The Pythagorean Theorem!!

or

Who was that guy Pythagoras?
Pythagorean Theorem
There are many ways to derive the Pythagorean Theorem.
Here's one example using the geometric mean!
   Comparing small to large triangle and medium to large triangle
e b                  d a
                    
b c                  a c

ec  b 2              dc  a 2

ec  b 2
dc  a 2
ec  dc  a 2  b2
c( e  d )  a 2  b 2
c2  a 2  b2
Pythagorean Theorem in All Its Glory!
   Remember what the formula means.

                         hypotenuse
             leg

                      leg

   So,   a 2  b2  c2 really means…

leg  leg  hypotenuse
2             2          2
Pythagorean Theorem in All Its Glory!

   Solve for x
                     4
                 x
                         9
Pythagorean Theorem in All Its Glory!

   Solve for x
                 x
        x
                     15
Pythagorean Theorem in All Its Glory!

   Solve for x.
                  13
     5
            x
Pythagorean Theorem in All Its Glory!
   There are very few triangles which have all whole
number lengths. Because of this, we give them a
special name, Pythagorean triplets. These are
used by carpenters of all kinds!

   Memorize these:      3 : 4 : 5
5 : 12 : 13
8 : 15 : 17
7 : 24 : 25
Pythagorean Theorem in All Its Glory!

   Is this a triplet?

             9          15

                   12
Example
   What would the third side be?

15
x
36
Pythagorean Theorem in All Its Glory!

   Homework:

   Page 6
   Page 8 # 4 - 12

```
DOCUMENT INFO
Shared By:
Categories:
Stats:
 views: 46 posted: 5/30/2010 language: English pages: 10
How are you planning on using Docstoc?