1. 8.2 Special Right Triangles

2. Theorem 8.5 45-45-90 Triangle Theorem
In a triangle, both legs are congruent and the length of the hypotenuse is time the length of a leg.
Hypotenuse= x leg 45 45 90

3. Example #1
Find the vale of each variable 90 9 45 45 x

4. Practice #1
Find the value of each variable 45 45 90

5. Theorem 8.6 30-60-90 Triangle Theorem
In a triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is times the length of the shorter leg.
Hypotenuse= 2 x shorter leg
Longer leg= x shorter leg 30 90 60

6. Proof of 60 2s 2s 60 60 2s

7. Example
Find the value of the variable 30 5 f 60 90 d

8. Classwork/Homework Pgs 428-429 #1-8, 15, 21, 22