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Home >> Rectangle >> Diagonals of Rectangle >>

Diagonals of rectangle

Area of Rectangle Perimeter of Rectangle Diagonals of Rectangle Difference & Similarity between Square & Rectangle

Before you study this concept, you are advice to read:

What is Rectangle ?

There are two properties of diagonals of Rectangle

  • Diagonals of Rectangle are equal.
  • Diagonals of Rectangle bisect each other.

    Diagonals of Rectangle are equal

    This property explains that length of diagonals of a rectangle is equal
    So, if we know the length of one diagonal, length of other can be calculated.

    Example 1: In the following diagram of rectangle ABCD, diagonal AC = 5 cm. Find length of other diagonal BD.



    Solution: In the given rectangle ABCD:
    AC = 5 cm (given)

    Since, diagonals in rectangle are equal, so we get:
    AC = BD

    Put Value of AC (given) and we get:
    5 cm = BD

    Or we can write it as
    BD = 5 cm

    Hence, length of other diagonal BD is 5 cm

    Diagonals of Rectangle bisect each other

    This property explains that diagonals of rectangle bisect each other at the intersecting point.
    In simple words, we can say that:
    Diagonals of rectangle divide into half at the point of intersection

    Example 2: Observe the following diagram:



    In the above diagram of Rectangle ABCD:
    AC and DB are two diagonals
    AC = DB = 7 cm

    Both diagonals AC and DB intersect at point O
    Since the diagonals of rectangle bisect each other at the intersecting point, so we get:
    AO = OC = Half of AC
    Since AC = 7 cm, so we get
    AO = OC = 3.5 cm

    Similarly,
    DO = OB = 3.5 cm

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