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Directions: You need 15 toothpicks. ©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
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Directions:You need 15 toothpicks.
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
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, Georgia Adapted from various sources
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, Georgia Adapted from various sources
2. What are the lengths of each side?
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
2. What are the lengths of each side?
4, 4, 4©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
3. Is it possible to make an isosceles triangle that is NOT equilateral?
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
3. Is it possible to make an isosceles triangle that is NOT equilateral?
YES©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
4. What are the lengths of each side?
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
4. What are the lengths of each side?
2, 5, 5©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
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, Georgia Adapted from various sources
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, Georgia Adapted from various sources
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, Georgia Adapted from various sources
a) 2, 4, 6b) 3, 6, 3c) 1, 5, 6d) 2, 3, 7
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
a) 2, 4, 6b) 3, 6, 3c) 1, 5, 6d) 2, 3, 7
NONONONO
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
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, Georgia Adapted from various sources
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, Georgia Adapted from various sources
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, Georgia Adapted from various sources
7. No. The shorter sides will not fit the longer side.
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
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, Georgia Adapted from various sources
a) 5, 5, 5b) 7, 5, 3c) 4, 5, 6d) 3, 6, 6
equilateralscalenescalene
isosceles
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
9. List 4 sets of lengths that total 15 but will not form a triangle.
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
a) 1, 2, 12b) 2, 3, 10c) 3, 4, 8d) 3, 3, 9
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
Conclusion
The sum of the measures of any 2 sides of a triangle must be __________ the measure of the 3rd side.
©2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia Adapted from various sources
