Rhombus

Definition of Rhombus

Rhombus is a parallelogram with four equal sides.

More about Rhombus

  • Diagonals of a rhombus bisect each other at right angles.
  • Diagonals of a rhombus bisect opposite angles.
  • Area of a rhombus (A) with side length l and perpendicular distance h between opposite sides is given as A = lh

Video Examples: Properties of a Rhombus


Example of Rhombus

    The given figure represents a rhombus.

Solved Example on Rhombus

Ques: ABCD is a rhombus. Find the area of ABCD, if AC = 3 in. and BD = 4 in.

    Choices:
    A. 9 in.2
    B. 6 in.2
    C. 7 in.2
    D. 8 in.2
    Correct Answer: B

Solution:

    Step 1: Area of rhombus = 1/2 � product of diagonals
    Step 2: AC = 3 in. and BD = 4 in. [Given.]
    Step 3: Area of ABCD = 1/2 � AC � BD
    Step 4: = 1/2 � 3 � 4
    Step 5: = 12 / 2 = 6 [Substitute AC = 3 and BD = 4.]
    Step 6: The area of ABCD = 6 in.2.

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