Find the following ratio.The ratio of diagonal of a square to its side

1.	Find the following ratio.The ratio of diagonal of a square to its side, if the length of side is 7 cm.
Answer» Length of side of square = 7 cm ∴ Diagonal of square = √2 x side = √2 x 7 = 7 √2 cm Ratio of diagonal of a square to its side = \(\frac{diagonal}{side}\) = \(\frac{7\sqrt{2}}{7}\) = \(\frac{\sqrt{2}}{1}\) = \({\sqrt{2}}{}\) : 1 ∴ The ratio of diagonal of a aquare to its side is √2 : 1.

Find the following ratio.The ratio of diagonal of a square to its side, if the length of side is 7 cm.

Answer»

Length of side of square = 7 cm

∴ Diagonal of square = √2 x side

= √2 x 7

= 7 √2 cm

Ratio of diagonal of a square to its side

= \(\frac{diagonal}{side}\)

= \(\frac{7\sqrt{2}}{7}\)

= \(\frac{\sqrt{2}}{1}\)

= \({\sqrt{2}}{}\) : 1
∴ The ratio of diagonal of a aquare to its side is √2 : 1.