Question

Find the distance and midpoint for the points (3,4) and (19, 16).

Answer 1

Given parameters:

   Coordinates of the points =  (3,4) and (19, 16)

Unknown:

The distance between the points = ?

The midpoint  = ?

Solution:

  The distance between two points can be mathematically solved using;

    D  = $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }$

 where  x₁  = 3, x₂  = 19  and y₁  = 4, y₂  = 16

Input the parameters and solve;

   D  = $\sqrt{(19 - 3)^{2} + (16 - 4)^{2} }$   = 20

Midpoint;

    The expression is given as;

     x$_{m}$ , y$_{m}$  = $\frac{x_{1} + x_{2} }{2}$  , $\frac{y_{1} + y_{2} }{2}$

         input the parameters and solve;

                   = $\frac{3 + 19}{2}$  , $\frac{4 + 16}{2}$

                   = 11 , 10

The midpoint is (11, 10)