1. Right Triangles Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles College EXIT BACKNEXT Click one of the buttons below or press the enter key © 2002 East Los Angeles College. All rights reserved.

2. Consider the Right Triangle. EXIT BACKNEXT

3. If we draw a vertical line from vertex C to a point D on our base, we form other right triangles. EXIT BACKNEXT

4. We have now created three right triangles These triangles are all similar! EXIT BACKNEXT

5. Recall that similar triangles have congruent (equal measure) corresponding angles. EXIT BACKNEXT

6. EXIT BACKNEXT

7. We know the following EXIT BACKNEXT

8. Similarly, EXIT BACKNEXT

9. Our picture becomes... EXIT BACKNEXT

10. Notice we can dissect this right triangle. We must rotate the first right triangle ¼ turn clockwise so the two triangles have the same alignment. EXIT BACKNEXT

11. Since these triangles are similar, the following properties can be used. EXIT BACKNEXT

12. It can be shown that the original right triangle ABC is similar to the smaller two right triangles. EXIT BACKNEXT

13. If we separate the figure into three triangles and use the same alignment for all three we get... EXIT BACKNEXT

14. Similar proportions can be created. CAD B A C D B C EXIT BACKNEXT

15. Example 1) Determine the value for X EXIT BACKNEXT

16. EXIT BACKNEXT

17. We really have EXIT BACKNEXT

18. Example 2) EXIT BACKNEXT

19. Example 3) EXIT BACKNEXT

20. Example 4) EXIT BACKNEXT

21. Summary EXIT BACKNEXT

22. End of Right Triangles Title V East Los Angeles College 1301 Avenida Cesar Chavez Monterey Park, CA 91754 Phone: (323) 265-8784 Email Us At: menteprog@hotmail.com Our Website: http://www.matematicamente.org EXIT BACKNEXT