Let X, Y, and Z be points such that XZ/ZY = ZY/XY = 1/2. If Y = (1, 7), Z = (-1, -7), then what is the sum of the coordinates of X?
YZ = sqrt(200) = 10*sqrt(2), so XZ = 5*sqrt(2) and XY = 20*sqrt(2). Therefore, X = (2,21), and the sum of the coordinates is 2 + 21 = 23.
XZ : ZY = 1 : 2
YZ = sqrt(200) = 10*sqrt(2) XZ = 5*sqrt(2) XY = 20*sqrt(2)
good good bad
The longest XY = YZ + XZ = 15√2 That's why this problem is incorrect!!!
Something's wrong with this question!?! Check your info.
According to the coordinates of points Y and Z, the length of ZY = √200
XZ/ZY ≠ ZY/XY (XY is NOT twice as long as ZY!!!)
If XZ/ZY = 1/2, and ZY = √200 then XZ = 1/2(√200)
Weird; that's the question...
Check your info. 
