Toothpick Triangles Directions You need 15 toothpicks 2009

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Toothpick Triangles Directions: You need 15 toothpicks. © 2009, Dr. Jennifer L. Bell, La.

Toothpick Triangles Directions: You need 15 toothpicks. © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources

With 12 toothpicks, 1. Is it possible to make an equilateral triangle using all

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

With 12 toothpicks, 1. Is it possible to make an equilateral triangle using all

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

2. What are the lengths of each side? © 2009, Dr. Jennifer L. Bell,

2. What are the lengths of each side? © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources

2. What are the lengths of each side? 4, 4, 4 © 2009, Dr.

2. What are the lengths of each side? 4, 4, 4 © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources

3. Is it possible to make an isosceles triangle that is NOT equilateral? ©

3. Is it possible to make an isosceles triangle that is NOT equilateral? © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources

3. Is it possible to make an isosceles triangle that is NOT equilateral? YES

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

4. What are the lengths of each side? © 2009, Dr. Jennifer L. Bell,

4. What are the lengths of each side? © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources

4. What are the lengths of each side? 2, 5, 5 © 2009, Dr.

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

4. Make a scalene triangle using all 12 toothpicks. What are the lengths of

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

4. Make a scalene triangle using all 12 toothpicks. What are the lengths of

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

5. Is it possible to form a triangle with each of the following number

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, La. Grange High School, La. Grange, Georgia Adapted from various sources

a) b) c) d) 2, 3, 1, 2, 4, 6, 5, 3, 6 3

a) b) c) d) 2, 3, 1, 2, 4, 6, 5, 3, 6 3 6 7 © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources

a) b) c) d) 2, 3, 1, 2, 4, 6, 5, 3, 6 3

a) b) c) d) 2, 3, 1, 2, 4, 6, 5, 3, 6 3 6 7 © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia NO NO Adapted from various sources

6. Do you think it would ever be possible to make a triangle when

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, La. Grange High School, La. Grange, Georgia Adapted from various sources

6. No. The sum of shorter sides will never be as long as the

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

7. Do you think it would ever be possible to make a triangle when

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, La. Grange High School, La. Grange, Georgia Adapted from various sources

7. No. The shorter sides will not fit the longer side. © 2009, Dr.

7. No. The shorter sides will not fit the longer side. © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources

With 15 toothpicks, 8. Make 4 different triangles using all of the toothpicks. Classify

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

a) b) c) d) 5, 7, 4, 3, 5, 5, 5, 6, 5 3

a) b) c) d) 5, 7, 4, 3, 5, 5, 5, 6, 5 3 6 6 equilateral scalene isosceles © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources

9. List 4 sets of lengths that total 15 but will not form a

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

a) b) c) d) 1, 2, 3, 3, 2, 3, 4, 3, 12 10

a) b) c) d) 1, 2, 3, 3, 2, 3, 4, 3, 12 10 8 9 © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources

Conclusion The sum of the measures of any 2 sides of a triangle more

Conclusion The sum of the measures of any 2 sides of a triangle more than the must be _____ rd measure of the 3 side. © 2009, Dr. Jennifer L. Bell, La. Grange High School, La. Grange, Georgia Adapted from various sources