If sum of lengths of the diagonals of a square is 24 cm, then what is the length of the side of the square?
Answer & explanation
Correct answer: option 3
We have,
Sum of lengths of the diagonals of a square = 24 cm
We know that,
length of the diagonal of the square is equal.
So, each diagonal = 12cm
Now, diagonal of the square = side × \(\sqrt {2}\)
= 12 / \(\sqrt {2}\) = side
side = $6 \sqrt{2}$ cm