Answer: 500 sqrt(2)cm
Step-by-step explanation:
Form: d = a sqrt(2)
Where d = diagonal = 10m and a = side length
10 = a sqrt(2)
10/sqrt(2) = a
Rationalize the denominator:
10/sqrt(2) x sqrt(2)/sqrt(2)
= 10 sqrt(2)/2
= 5 sqrt(2)
Thus, a = 5 sqrt(2)m
Change to cm:
5 sqrt(2) x 100cm = 500 sqrt(2)cm