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

2. Topics 45° – 45° – 90° Triangle 30° – 60° – 90° Triangle Click on the topic that you wish to view... EXIT BACKNEXTTOPICS

3. 45° – 45° – 90° Triangle EXIT BACKNEXTTOPICS

4. Consider a square with sides X. EXIT BACKNEXTTOPICS

5. If we draw in diagonal we’ll obtain two triangles. EXIT BACKNEXTTOPICS

6. Take a closer look at the triangle ABC, it’s a Right Triangle! EXIT BACKNEXTTOPICS

7. Applying the Pythagorean Theorem, we obtain the length of our diagonal. EXIT BACKNEXTTOPICS

8. This is fundamental yet powerful result. EXIT BACKNEXTTOPICS

9. Example 1) becomes EXIT BACKNEXTTOPICS

10. Example 2) becomes EXIT BACKNEXTTOPICS

11. Example 3) becomes Why? EXIT BACKNEXTTOPICS

12. Using the 45°- 45°- 90° relationship... EXIT BACKNEXTTOPICS

13. EXIT BACKNEXTTOPICS

14. 30° – 60° – 90° Triangle EXIT BACKNEXTTOPICS

15. Consider an equilateral triangle. We know equilateral triangles have: 1. Interior angles each measuring 60°. 2. All three sides have equal length. EXIT BACKNEXTTOPICS

16. Bisecting angle ACB by drawing a line segment from vertex C to point D on side, we obtain the following: EXIT BACKNEXTTOPICS

17. Now, represent the lengths of our equilateral triangle by 2X. EXIT BACKNEXTTOPICS

18. We’ve created a 30°-60°-90° triangle. We need to determine the length of one of our legs, it’s represented by the ? EXIT BACKNEXTTOPICS

19. Using the Pythagorean Theorem, We can now apply this result. EXIT BACKNEXTTOPICS

20. Example 1) EXIT BACKNEXTTOPICS

21. Example 2) EXIT BACKNEXTTOPICS

22. Using, EXIT BACKNEXTTOPICS

23. Example 3) EXIT BACKNEXTTOPICS

24. Using, EXIT BACKNEXTTOPICS

25. End of Special 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 BACKNEXTTOPICS