
To find: The correct values to complete the given table.

Answer to Problem 17WE
AR | RT | AT | AN | NP | AP | RN | TP |
8 | 8 | 16 | 6 | 6 | 12 | ? | ? |
Explanation of Solution
Given information:
AR | RT | AT | AN | NP | AP | RN | TP |
? | 8 | 16 | 6 | ? | ? | ? | ? |
Proportional lengths: Point
Triangle Proportionality Theorem: if a line parallel to one side of a triangle intersects the other two sides, then it divided those sides proportionally.
If
Then,
Now consider a triangle
points
Thus,
For AR,
The point R lies on the line AT, as shown in the given figure. The value of AR will be the sum of
Therefore,
For NP,
As the line RN is parallel to the line TP, therefore,
For AP,
The point N lies on the line AP, as shown in the given figure. The value of AP will be the sum of
Therefore,
As there are no values for the parallel lines therefore, it is impossible to find out all other variables.
Hence, the new table will be shown as;
AR | RT | AT | AN | NP | AP | RN | TP |
8 | 8 | 16 | 6 | 6 | 12 | ? | ? |
Chapter 7 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Pre-Algebra Student Edition
A First Course in Probability (10th Edition)
Elementary Statistics
Elementary Statistics (13th Edition)
Calculus: Early Transcendentals (2nd Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
- 6arrow_forwardDoor 87.5in to 47 living 44.75 Closet 96in Window ISS.Sin 48in Train Table 96in 48in 132:2 Windowarrow_forward39 Two sides of one triangle are congruent to two sides of a second triangle, and the included angles are supplementary. The area of one triangle is 41. Can the area of the second triangle be found?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 Learning

