I created a graph using the coordinate given. Image of ΔABC is attached.
A(0,0) ; B(2,2) ; C(5,-1)
Based on the graph:
AB = 2 (0 to 2)
BC = 3 (2 tp -1)
AC = 5 (0 to 5)
L is the midpoint of AC. So 5/2 = 2.5
M is the midpoint of BC. So 3/2 = 1.5
Coordinates of:
L is (2.5,-0.5)
M is (3.5,0.5)
Based on the graph, LM is parallel to AB and LM is 1 which is equal to 1/2 of AB, 2.
