To find the distances between the points, we can use the distance formula:

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

KM:
K(-2, 2) and M(4, -1)
d = √((4 - (-2))^2 + (-1 - 2)^2)
d = √(6^2 + (-3)^2)
d = √(36 + 9)
d = √45
d ≈ 6.71

LM:
L(0, 7) and M(4, -1)
d = √((4 - 0)^2 + (-1 - 7)^2)
d = √(4^2 + (-8)^2)
d = √(16 + 64)
d = √80
d ≈ 8.94

LK:
L(0, 7) and K(-2, 2)
d = √((-2 - 0)^2 + (2 - 7)^2)
d = √((-2)^2 + (-5)^2)
d = √(4 + 25)
d = √29
d ≈ 5.39

Therefore,
KM ≈ 6.71
LM ≈ 8.94
LK ≈ 5.39