Pythagoren Thm and simpilest radical form.notebook
March 04, 2013
Section 5­7: Pythagorean Theorem
Simplest Radical form: • break down a radical so that it does not contain any perfect squares
• remove any radicals from the denominator of a fraction
****Provides an EXACT answer ****
Perfect Squares:
4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169....
Examples: Simplify each radical
√40
√64
√243
√100
12
17 5
1
Pythagoren Thm and simpilest radical form.notebook
March 04, 2013
a2 + b2 = c2
hypotenuse
leg
leg
Used to find a missing side of right triangle.
Examples: Find the length of the missing side. Give your answer in simplest radical form.
x
2
6
x
x­2
4
2
Pythagoren Thm and simpilest radical form.notebook
March 04, 2013
Pythagorean Triples: a set of three whole numbers a, b, and c such that a2 + b2 = c2
3, 4, 5
5, 12, 13
8, 15, 17
7, 24, 25
3