To find: The correct values to complete the given table.
Answer to Problem 14WE
AR | RT | AT | AN | NP | AP | RN | TP |
18 | 6 | 24 | ? | ? | ? | 30 | 40 |
Explanation of Solution
Given information:
AR | RT | AT | AN | NP | AP | RN | TP |
18 | ? | ? | ? | ? | ? | 30 | 40 |
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,
AR | RT | AT | AN | NP | AP | RN | TP |
18 | ? | ? | ? | ? | ? | 30 | 40 |
For RT,
Use the proportion,
For RT,
The point R lies on the line AT, as shown in the given figure. The value of RT will be the sum of AT−AR.
Therefore,
As no values of right side had given 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 |
18 | 6 | 24 | ? | ? | ? | 30 | 40 |
Chapter 7 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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