Answer :
Answer:
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 = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
on substituting the respective values, we get
distance = [tex]\sqrt{(0-5)^2+(0-5)^2}[/tex]
or
distance = [tex]\sqrt{25+25}[/tex]
or
distance = √50
or
distance = 5√2 units
Hence,
The length of the diagonal of the given vertices is 5√2 units
