Question 255323
The perimeter of a square is 40 cm.
 what is the length of the diagonal in simplest radical form.
:
Sides of the square (a * b) = 10 cm
c^2 = a^2 + b^2
Diagonal (c)
c = {{{Sqrt(10^2 + 10^2)}}}
:
c = {{{Sqrt(200)}}}
:
Factor to reveal perfect square
c = {{{Sqrt(100*2)}}}
:
Extract the square
c = {{{10*Sqrt(2)}}}; is the diagonal