1. 7-4: Similarity in Right Triangles
Goal: Be able to find and use relationships in smaller right triangles
geometric mean -
The number x such that
where a, b, and x are positive numbers.
Ex 1: Find the geometric mean of
a.) 4 and 7
b.) 5 and 25

2. Similarity in Right Triangles
When _____________ is drawn to the ________________
of , 3 ______________ triangles are formed.
altitude
hypotenuse
similar

3. Watch and be amazed!

4. h is the geometric mean between x and y P P N O M O N N M
h is the geometric mean between x and y
b is the geometric mean between y and c
a is the geometric mean between x and c

5. Ex 3: Find x.
Ex 4: Find x. x x 3 5 5 7

6. Ex 5: Find x.
Ex 6: Find x. x 3 y 2 6 x 5

7. Ex 7: Find x.
Ex 8: Find x. 3 z y x y z 1 4 x