Download The Pythagorean Theorem

The Pythagorean Theorem
Chapter 9
Geometry
Review
Review of Radicals and
Quadratic Equations
Section 1
A radical is in simplest form if:
• There are no perfect squared factors under
the radical.
• There are no fractions under the radical.
• No radical is in the denominator of a
fraction.
Solving Quadratic Equations
Method 1:
x  9  25
2
x  16
2
x   16
x  4
Method 2:
x 2  9  25
x 2  16  0
( x  4)( x  4)  0
x4
x  4
Solving Quadratic Equations
A bit more:
x 2  10 x  16
x  10 x  16  0
2
( x  2)( x  8)  0
x2
x  8
Geometry’s
Most Elegant Theorem
c
a
b
a b  c
2
2
2