Answer:
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.
