Question

The diagonal of a square is 10m long. What is the length of the side of the square?(Give your answer to the nearest cm)

Answer 1

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