Answer:
15 sqrt(2)
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
60 = 4s
Divide each side by 4
60/4 = 4s/4
15 =s
The diagonal is the hypotenuse of the right triangle where the legs are the sides of length 15
Using the Pythagorean theorem
a^2 + b^2 = c^2
15^2 + 15^2 = c^2
225+225 = c^2
450 = c^2
Taking the square root of each side
sqrt(450) = sqrt( c^2)
sqrt (2*225) = c
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(2) sqrt(225) =c
sqrt(2) 15 = c
