Answer:
the length of the side XY is 4 units
Step-by-step explanation:
To find the length of side XY, what we do is to find the distance between the points X and Y
To find this distance, we employ the use of the formula for finding the distance between two points on a Cartesian plane.
Mathematically, the distance d which represents the length XY is given by;
d = √{(x2-x1)^2 + (y2-y1)^2}
Where point X represents the coordinates (x1,y1) = (10,1) while point Y represents the coordinates (x2,y2) = (10,-3)
Plugging these values into the formula, we have;
d = √{(10-10)^2 + (-3-1)^2}
d = √{(0)^2 + (-4)^2}
d = √(0 + 16)
d = √(16)
d = ± 4
but since distance cannot be negative, we ignore the -4 and thus we choose 4 units as the length between the points XY
