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(Math Help Quick Lots of points please thanks) 2

(Math Help Quick Lots of points please thanks) 2-example-1

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Answer:

EY = 60

DW = 68

DE = 128

Explanation:

Given

  • YW = 32
  • DZ = 64
  • FW = 68

As YW is the perpendicular bisector of EF, then EY = FY

FY = √(FW² - YW²) = √(68² - 32²) = 60

⇒ EY = 60

As WX is the perpendicular bisector of DF, then DW = FW

As FW = 68, then DW = 68

As WZ is the perpendicular bisector of DE, then DZ = EZ = 64

Therefore, DE = DZ + EZ = 64 + 64 = 128

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