Question

Choose the correct alternative:

If the length of diagonal of square is √2, then what is the length of each side?

Options

• 2

• √3

• 1

• 4

Answer 1

1

Let ABCD be the given square.

In ∆ABC,

∠B = 90°

∴ AC² = AB² + BC²     ...[Pythagoras theorem]

∴ (√2)² = AB² + AB²     ...[Sides of the square]

∴ 2 = 2AB²

∴ AB² = 1

∴ AB = 1 unit