To find: The scalar factor of the similarity of the given
Answer to Problem 7WE
The scalar factor of the similarity of the given triangles is
Explanation of Solution
Given information:
AB | BC | AC | TR | RI | TI |
6 | 8 | 10 | 9 | 12 | 15 |
According to SAS similarity theorem and Scalar factor;
Now consider one triangle has vertices A,B, and C and another triangle has vertices T,R, and I.
AB | BC | AC | TR | RI | TI |
6 | 8 | 10 | 9 | 12 | 15 |
Now,
Compare the longest sides
Compare the shortest sides
Compare remaining sides
Therefore,
Thus, the scalar factor is
Hence, the given triangles are similar by SSS similarity theorem and the scalar factor of the similarity of the given triangles is
Chapter 7 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Elementary Algebra
University Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Introductory Statistics (2nd Edition)
Differential Equations and Linear Algebra (4th Edition)
- 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 Learning