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.
  • Area of rhombus with the diagonals d1 and d2 = d1d2.
  • Square is a special case of rhombus.

Example of Rhombus

  • The given figure represents a rhombus.

Solved Example on Rhombus

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

Related Terms for Rhombus

  • Angle
  • Equal
  • parallel
  • Parallelogram
  • Quadrilateral
  • Side