Use the distance formula to find the length of the diagonal of the square whose vertices are (0,0), (0, 5), (5, 5), and (5,0).

length of the diagonal of the given vertices is 5√2 units

Step-by-step explanation:

Data provided:

The coordinates of the square as:

(0,0), (0, 5), (5, 5), and (5,0)

on plotting the above points on the graph we, get the square shown in the graph attached

since, in a square all the diagonals are equal, therefore,

we length of diagonal = distance between the coordinates ( 0, 0) and ( 5, 5)

Now,

The distance between the two points whose coordinates is given is calculated using the formula  

distance =

on substituting the respective values, we get

distance =

or

distance =

or

distance = √50

or

distance = 5√2 units

Hence,

The length of the diagonal of the given vertices is 5√2 units