Observe that it is possible to build a triangle with toothpicks that has sides of 3, 4, and 5 toothpicks, as shown, answer the questions that follow.
a. Find two other triples of toothpicks that can be used as sides of a triangle and two other triples that cannot be used to create a triangle.
b. Describe how to tell whether a given triple of numbers a, b, c can be used to construct a triangle with sides of a, b, and c toothpicks.
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Additional Math Textbook Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Numerical Analysis
Finite Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?arrow_forwardDetermine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c = 2.5 b a= 20, b= 21 and c = 29 c a=10, b= 12, and c =16 d a= 5, b= 7 and c = 9arrow_forwarda What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning