1. Special Right Triangles Georgia Performance Standards for Mathematics 2 (MM2G1) Determine the lengths of sides of 30°-60°-90° and 45°-45°-90 triangles

2. Special Right Triangles 45, 45, 90 30, 60, 90

3. The name represents the degree measurements 45°, 45°, 90°30°, 60°, 90°

4. Today: Were just going to focus on 45°, 45°, 90° Triangles

5. Before we get into the math of 45°, 45°, 90° triangles… PAUSE Can anyone think of an example of a 45 °, 45 °, 90 ° triangle in daily life??

6. Any Sport Fans or Athletes?

7. Field Goal kicker

8. http://www.youtube.com/watch?v=xoI1-3rfyL8

9. Any Sandwich eaters??

10. Do you cut your sandwiches in half?? If you do… then you would have two 45°, 45°, 90° sandwich halves.

11. Other Examples Paper Footballs American money Bridges Wheelchair ramps

12. Question: So… besides sports and sandwiches Whats so special about 45°, 45°, 90° triangles?? Well class, Im glad you asked!

13. 45°,45°, 90° triangles They are the ONLY isosceles right triangle! – Which means – It is the only right triangle with TWO equal sides and TWO equal angles. – This is important when measuring the length of the sides

14. Recall: The Pythagorean Theorem states: If right triangle has sides of length a and b and hypotenuse of c, then a 2 + b 2 = c 2

15. In Reference to a 45°,45°, 90°, we see:

16. For every 45°,45°, 90° triangle 1

17. a

18. Important Facts to Remember:

19. Any Questions about 45°,45°, 90° Triangles?

20. Next Lesson 30°, 60°, 90° Triangles 2 1