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

The distance is
The midpoint is a (, )

User Fractals
by
9.0k points

1 Answer

6 votes

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)

User Sccs
by
8.3k points

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