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

3. 45-45-90 Right Triangle a a This is our reference triangle for the 45-45-90.

4. 3 ? a a EX: 1 Find the Hypotenuse. Reference Triangle

5. 10? EX: 2 Find the Hypotenuse. a a Reference Triangle

6. x 6 EX: 3 Find the length of the leg. a a Reference Triangle

7. Ex. 4 What is the length of the diagonal of this square? 17

8. Standardized Test Practice The correct answer is B.

10. 30-60-90 Right Triangle a 2a 60º This is our reference triangle for the 30-60-90 triangle. 30º

11. 60 30 x 8 Ex: 1 – Solve for x and y. 2a 60º 30º a Reference Triangle y

12. 60 30 x y 2a 60º 30º a Reference Triangle 9 Ex: 2 – Solve for x and y.

13. 60 30 x y Ex: 1 – Solve for x and y. 2a 60º 30º a Reference Triangle

14. ANSWER 3 3 2

15. EXAMPLE 5 Find a height Dump Truck The body of a dump truck is raised to empty a load of sand. How high is the 14 foot body from the frame when it is tipped upward at the given angle?

16. EXAMPLE 5 Find a height When the angle of elevation is 45, the body is about 9 feet 11 inches above the frame. o When the body is raised 45 above the frame, the height h is the length of a leg of a triangle. The length of the hypotenuse is 14 feet. a. 45 - 45 - 90 o o o o a. 45º angle Solution

17. EXAMPLE 5 Find a height When the angle of elevation is 60, the body is about 12 feet 1 inch above the frame. o b. When the body is raised 60, the height h is the length of the longer leg of a triangle. The length of the hypotenuse is 14 feet. 30 - 60 - 90 o o o o b. 60º angle Solution

18. Page 154 #23 & 24 Page 155 #1-13odd, 14-24