The shortest distance between the G and H is 13.60 units. Then the correct option is C.
What is coordinate geometry?
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The coordinate of G(-4, 5) and H(7, -3).
Then the distance between the GH will be given as
[tex]\rm GH= \sqrt{(-4-7)^2+(5+3)^2}\\\\GH= \sqrt{(-11)^2+(8)^2} \\\\GH= \sqrt{121+64}\\\\GH= \sqrt{185} \\\\GH= 13.60[/tex]
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
