In the figure above, if AB = 8 centimeters, CB = 6 centimeters, and ED = 5 centimeters, then what is the length of EB?
A. 5 centimeters
B. 75 centimeters
C.
10 centimeters
D.
5/5 centimeters

  D.  5√5 centimeters

Step-by-step explanation:

The Pythagorean theorem tells you ...

  BD^2 = CB^2 +AB^2

and it tells you that ...

  EB^2 = ED^2 +BD^2

  EB^2 = ED^2 + CB^2 +AB^2 . . . . . substitute for BD^2

  EB^2 = 5^2 +6^2 +8^2 = 125 . . . . . fill in the vlaues

  EB = √125 = 5√5

The length of EB is 5√5 centimeters.

-14 is the answer

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see attached graph