a P A d
Side (a)
Perimeter (P)
Area (A)
Result unit

What is the Diagonal of a Square

The diagonal of a square is a line segment that joins any two non-adjacent vertices. A square has two diagonals.

Diagonal of a Square

  • a – sides of the square,
  • d – diagonals of a square.

Properties of Diagonals of Square

  1. the diagonals of a square are equal,
  2. they are perpendicular bisectors of each other,
  3. each diagonal of a square divides the square into two equal, isosceles triangles,
  4. the diagonal of a square bisects the internal angles at the two points joining it.

Diagonal of a Square Formula

  • If given Side of a square (a):

    {d = a\sqrt{2}}

  • If given Perimeter of a square (P):

    {d = \dfrac{P}{4}\sqrt{2}}

  • If given Area of a square (A):

    {d = \sqrt{2A}}

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