1. *You will be able to find the lengths of sides of special right triangles 45-45-90 And 30-60-90

2. Leg:Leg:Hypotenuse Short Leg:Long Leg:Hypotenuse

3. In a 45-45-90 triangle… We will use a reference triangle to set up a proportion then solve.

4. 45-45-90 Right Triangle 1 1 This is our reference triangle for the 45-45-90.

5. 45-45-90 Right Triangle x x

6. 3 3 x 1 1 3 1 x EX: 1 Solve for x Let’s set up a proportion by using our reference triangle.

7. 5 5 x 1 1 5 1 x EX: 2 Solve for x

8. x 3 1 1 x 1 3 45 EX: 3 Solve for x

10. 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. We will use a reference triangle to set up a proportion then solve.

11. 30-60-90 Right Triangle x 2x2x 30  60 

12. 60 30 x y 8 x 1 8 2 y8 2 1 2 60 Ex: 1

13. 60 30 x 24 Solve for x 24 2 x 1 1 2 30 60 2x = 24 x = 12 Ex: 2

14. 60 30 x 14 2 x 1 1 2 30 60 2x = 14 x = 7 Ex: 3 y 14 2 y

15. 60 30 x x 1 1 2 60 x = 5 Ex: 4 y y 2 y = 10

17. Book Page