Question

PLEASE HELP!!! 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

Answer 1

D. 5√5 centimeters

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.