I don't know how you calculated AC...I have drawn a diagram (a lovely diagram if I say so myself...) and here is what I need to do:
Find the ratio in which M divides AC and BD
Also, AB is parallel to DC and HALF ITS LENGTH.
First, I tried to find AC (which turns out to be y+2x) and then AM would be k(y+2x) where k is a scalar but apart from that, I truly am stuck. I have a feeling I need to somehow find AM and BM but how?
Can you please help me out? Of course, all assistance is appreciated.
Nevermind, you don't need it !
Do you know Thales theorem ?
AB is parallel to CD.
Therefore, there is this equality :