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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?

 Apr 4, 2021
edited by VoidAsks  Apr 4, 2021
 #1
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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.

 Apr 4, 2021
 #2
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XZ : ZY = 1 : 2       

Guest Apr 5, 2021
 #4
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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!!!

Guest Apr 5, 2021
 #3
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Something's wrong with this question!?!cheeky Check your info. laugh

 

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) 

 Apr 5, 2021
 #5
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Weird; that's the question...

VoidAsks  Apr 7, 2021

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