To find: The correct values to complete the given table.
Answer to Problem 12WE
AR | RT | AT | AN | NP | AP | RN | TP |
6 | 4 | 10 | 9 | 6 | 15 | 9 | 15 |
Explanation of Solution
Given information:
AR | RT | AT | AN | NP | AP | RN | TP |
6 | 4 | ? | 9 | ? | ? | ? | 15 |
Calculation:
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
The point
Therefore,
For
As the line
For
The point
Therefore,
For
Use the proportion,
AR | RT | AT | AN | NP | AP | RN | TP |
6 | 4 | 10 | 9 | 6 | 15 | 9 | 15 |
Chapter 7 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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