Question

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

The distance is
The midpoint is a (, )

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)` =
`(x_(1) + x_(2) )/(2)` ,
`(y_(1) + y_(2) )/(2)`

input the parameters and solve;

=
`(3 + 19)/(2)` ,
`(4 + 16)/(2)`

= 11 , 10

The midpoint is (11, 10)