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 of the rectangle.

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)] = [-10.625, 18.625]

So, the middle of the rectangle is (-10.625, 18.625).