Question 911998: In rectangle ABCD, a point M is selected inside the rectangle. If AM=4, BM=5, and CM=6, find the length of DM.
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! Let the coordinates of A be (0,0).
Then B would be (0,xb), C would be (xc,yc), and D would be (xd,0).
Calculate the distance from each vertex to M.
AM:
1.
BM:
2.
CM:
3.
DM:
4. where  is the unknown distance.
First we can simplify since,
 and 
So then, for CM,
3.
and for DM,
4.
Substituting from 3 into 4.
Then substituting from 2,
Finally, substituting from 1,
.
.
.
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