A rule for finding the approximate length of diagonal of a square is to multiply the length of a side of the square by 1.414. Find the length of the diagonal when :
(a) The length of a side of the square is 8.3 cm.
(b) The length of a side of the square is exactly 7.875 cm.
(a) 11.74 cm (approximately)
(b) 11.14 cm (approximately)
(a) \(8.3\times1.414\approx11.746\Rightarrow 11.74\,\text{cm}.\;
(b) \(7.875\times1.414\approx11.14\,\text{cm}.\)