Question

Suppose the coordinate of A is 0, AR=5 and AT=7. What are the possible coordinates of the midpoint of the given segment?

Answer 1

Answer with explanation:

It is given that coordinate of A is 0 , AR=5 and AT=7.

This is one dimensional plane.

Suppose a line segment has length , a , then mid point of line segment is given by

     $=\frac{a}{2}$

Mid Point of Segment AR will be

          $=\frac{5}{2}\\\\=2.5$  

Mid Point of Segment AT will be

          $=\frac{7}{2}\\\\=3.5$  

Now, you have used the term coordinates , it means you are talking about two dimensional plane.

So, Coordinates of Mid point of AR can be =(2.5,0) and (-2.5,0).

And, Coordinates of Mid point of AT can be =(3.5,0) and (-3.5,0).