The diagonals of a square are ____.

The diagonals of a square have several important properties that make them unique.

Characteristics of Square Diagonals

• Equal Length: Both diagonals are of the same length.
• Bisect Each Other: They intersect at the center of the square, dividing each diagonal into two equal parts.
• Perpendicular: The diagonals intersect at right angles (90 degrees).
• Divide the Square: Each diagonal splits the square into two congruent triangles.

Length of the Diagonal

The length of a diagonal can be calculated using the formula: d = a√2, where d is the diagonal length and a is the length of a side of the square.

Visual Representation

When drawn, the diagonals create an 'X' shape inside the square, highlighting their symmetry and balance.

Understanding these properties helps in various mathematical applications, including geometry and design.