Question

The midpoint of the coordinates (3, 15) and (20,8) is -

Answer 1

The midpoint of the given coordinates is
`((23)/(2),(23)/(2))\ or\ (11.5,11.5)`.

Explanation:

We have given two coordinates (3,15) and (20,8).

Let we have given a line segment PQ whose P coordinate is (3,15) and Q coordinate is (20,8).

We have to find out the mid point M(x,y) of the line segment PQ.

Solution,

By the mid point formula of coordinates, which is;

`((x_1+x_2)/(2),(y_1+y_2)/(2))`

On substituting the given values, we get;

`M(x,y)=((3+20)/(2), (15+8)/(2))\\\\M(x,y)=((23)/(2),(23)/(2))`

We can also say that
`M(x,y)=(11.5,11.5)`

Hence The midpoint of the given coordinates is
`((23)/(2),(23)/(2))\ or\ (11.5,11.5)`.