Chapter 8, Problem 12GRFC

To determine

Graph the line segment that represents the shortest path between the two buildings.

Explanation of Solution

Given :

Q is visiting a college campus. He notices from his map that several important buildings are located around a grassy area the students call the Quad. The library is represented on the map by $L(6,8)$ and the cafeteria is represented by $C\left(0,0\right)$ .

Calculation:

First plot the two points C(0,0) and L(6,8) representing cafeteria and library respectively.

The shortest distance between two points is the line segment joining the two points.

So, join the two points by the line segment CL , which is the shortest distance between the points C and L.

  

The length of CL is :

  $CL=\sqrt{6^2+8^2}=\sqrt{100}=10$