notes 9-1, 9-2, and 9-3

9-1 Similar right triangles
Theorem 9-1: If the altitude is drawn to the hypot of a RT tri, then the 2 tris formed are ~ to the orig tri, and to each other

Th. 9-2: If an alt is drawn to the htpo of a rt tri, the length of the altitude is the geometric mean of the lengths of the 2 segments now composing the hypot

Th. 9-3 If an alt is drawn to the hpot of a rt tri, the length of each leg of the rt tri is the geometric mean of the length of the hypot and the segment of the hypot that is adjacent to the leg
Draw diagram from pg 529

In other words:
In these 2 new tris formed, the altitude will the the longer leg of 1 and the shorter leg of the other. It becomes the geometric mean of the other 2 sides (see diagram pg 529)
Same goes for the other sides

Try pg 531 #19-29 odd

9-2 Pythagorean Theorem
RIGHT TRIANGLES ONLY ----C IS ALWAYS THE HYPOT
a2+ b2= c2
try 1000 examples

9-3 Converse of Pythagorean Theorem
If a2+ b2= c2 , then the tri is a rt tri
If a2+ b2>c2 , then the tri is acute
a2+ b2< c2, then the tri is obtuse