The points (1,10) , (-10,4) and (-28,37) are three points of a rectangle, find the middle of the rectangle.

To find the middle of the rectangle, we first need to find the fourth point of the rectangle.

Step 1: Calculate the midpoints of the line segments between the given points.

Midpoint of (1,10) and (-10,4) = [ (1-10)/2 , (10+4)/2 ] = [-4.5, 7]

Midpoint of (1,10) and (-28,37) = [ (1+28)/2 , (10+37)/2 ] = [-13.5, 23.5]

Step 2: Use the midpoints to find the fourth point.

The fourth point is the point that is not on the line between the two midpoints.

The fourth point is (-4.5, 23.5)

Step 3: Calculate the midpoint of the rectangle.

The midpoint of the rectangle is the average of the x-coordinates and the y-coordinates of the four points.

Midpoint of rectangle = [ (1-10-28-4.5)/4 , (10+4+37+23.5)/4 ] = [-10.375, 18.625]

So, the middle of the rectangle is (-10.375, 18.625).