The points (3,10) , (-3,-2) and (-5,-5) 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: Find the fourth point of the rectangle The fourth point of the rectangle can be found by adding the x-coordinates of the first and third points and subtracting the x-coordinate of the second point. Similarly, add the y-coordinates of the first and third points and subtract the y-coordinate of the second point.

Fourth point = ((3 + -5) - -3, (10 + -5) - -2) = (1, 7)

Step 2: Find the middle of the rectangle The middle of the rectangle is the average of the x-coordinates and the y-coordinates of the four points.

Middle of the rectangle = ((3 + -3 + -5 + 1)/4, (10 + -2 + -5 + 7)/4) = (-1, 2.5)

So, the middle of the rectangle is at (-1, 2.5).