Question

If the length of diagonal of square is `sqrt(2)`, then what is the length of each side?

Options

• 2

• `sqrt(3)`

• 1

• 4

Answer 1

1

Explanation:

Let ABCD be the given square.

In ∆ABC,

∠B = 90°

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

∴ `(sqrt(2))^2 = AB^2 + AB^2`   ...[Sides of the square]

∴ 2 = 2AB²

∴ AB² = 1

∴ AB = 1 unit