1. Directions: You need 15 toothpicks. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

2. With 12 toothpicks, 1.Is it possible to make an equilateral triangle using all 12 toothpicks? ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

3. With 12 toothpicks, 1.Is it possible to make an equilateral triangle using all 12 toothpicks? YES ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

4. 2.What are the lengths of each side? ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

5. 2.What are the lengths of each side? 4, 4, 4 ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

6. 3.Is it possible to make an isosceles triangle that is NOT equilateral? ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

7. 3.Is it possible to make an isosceles triangle that is NOT equilateral? YES ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

8. 4.What are the lengths of each side? ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

9. 4.What are the lengths of each side? 2, 5, 5 ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

10. 4.Make a scalene triangle using all 12 toothpicks. What are the lengths of each side? ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

11. 4.Make a scalene triangle using all 12 toothpicks. What are the lengths of each side? 3, 4, 5 ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

12. 5.Is it possible to form a triangle with each of the following number of toothpicks as sides? If not possible, explain why? ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

13. a)2, 4, 6 b)3, 6, 3 c)1, 5, 6 d)2, 3, 7 ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

14. a)2, 4, 6 b)3, 6, 3 c)1, 5, 6 d)2, 3, 7 NO ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

15. 6.Do you think it would ever be possible to make a triangle when the length of two shorter sides together total less than the longest side alone? If yes, give an example. If no, explain why. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

16. 6.No. The sum of shorter sides will never be as long as the longest side. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

17. 7.Do you think it would ever be possible to make a triangle when the length of two shorter sides together equal the longest side alone? If yes, give an example. If no, explain why. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

18. 7.No. The shorter sides will not fit the longer side. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

19. With 15 toothpicks, 8.Make 4 different triangles using all of the toothpicks. Classify each triangle. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

20. a)5, 5, 5 b)7, 5, 3 c)4, 5, 6 d)3, 6, 6 equilateral scalene isosceles ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

21. 9.List 4 sets of lengths that total 15 but will not form a triangle. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

22. a)1, 2, 12 b)2, 3, 10 c)3, 4, 8 d)3, 3, 9 ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources

23. Conclusion The sum of the measures of any 2 sides of a triangle must be __________ the measure of the 3 rd side. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, GeorgiaAdapted from various sources