1. Chapter 8: Right Triangles & Trigonometry 8.2 Special Right Triangles

2. Isosceles Right Triangles What are the angle measures of an isosceles right triangle?

3. Theorem 8-5 45-45-90 Triangle Theorem –In a 45-45-90 triangle, both legs are congruent and the length of the hypotenuse is √2 times the length of a leg

4. Example 1 Find the value of h:

5. Example 1 Find the value of x:

6. Example 1a Find the length of the hypotenuse of a 45- 45-90 triangle with legs of length 5√3.

7. Example 2 What is the value of x?

8. Example 3 A high school softball diamond is a square. The distance from base to base is 60 feet. To the nearest foot, how far does a catcher throw the ball from home plate to second base?

9. Example 3a A square garden has sides 100 ft long. You want to build a brick path along a diagonal of the square. How long will the path be?

10. Theorem 8-6 30-60-90 Triangle Theorem –In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is √3 times the length of the shorter leg.

11. Example 4 Find the value of each variable:

12. Example 4a Find the value of each variable:

13. Homework p. 428 1-6, 9-14, 17-22