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In the diagram below, EU = 8, UF = 7,GV = 5, VH = 16, and UV= 8. Find XY.

 

 Jul 11, 2021
 #1
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XY = 27.

 Jul 11, 2021
 #2
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In the diagram below, EU = 8, UF = 7,GV = 5, VH = 16, and UV= 8. Find XY.

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UX => m            VY => n

 

m(8 + n) = 7 * 8         m = 56 / (8 + n)

 

n(8 + m) = 5 * 16        

 

n[8 + 56 / (8 + n)] = 80        n ≈ 6.787

 

m = 56 / (8 + n)                   m ≈ 3.787

 

XY = √345   ≈ 18.574

 

 Jul 12, 2021
edited by civonamzuk  Jul 12, 2021

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