# Is the diagonal of a square the same length as the side?

The length of the diagonal of the square is equal to √2 times of its side.

## Answer: No, the diagonal of a square is not the same length as the side.

We will use the Pythagoras theorem for finding the length of the diagonal of a square.

**Explanation:**

The diagonal of a square form a right-angled triangle with any two adjacent sides of the square. Diagonal is the hypotenuse and the two sides of the square are perpendicular and base of the right-angled triangle.

By Pythagorus theorem, Hypotenuse^{2} = Perpendicular^{2} + Base^{2}

Hence, Diagonal^{2} = Side^{2} + Side^{2}

Diagonal = √2 × Side

### Hence, the diagonal of a square is not the same length as the side because the length of the diagonal of the square is equal to √2 times of its side.

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