Line segment Upper A Upper E begins at left parenthesis 0 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper B Upper E begins at left parenthesis 3 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper C Upper E begins at left parenthesis 6 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper D Upper E begins at left parenthesis 9 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Question What is in simplest form? (1 point) Responses
4
5 over 4
25 over 4
5
The length of line segment AE is given by the distance formula:
Length AE = sqrt((4-0)^2 + (5-0)^2) = sqrt(16 + 25) = sqrt(41)
Therefore, the simplest form of the length of line segment AE is sqrt(41).