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A rhombus is a quadrilateral having all sides with unequal diagonals, which bisect each other. Note: If a square is pressed from two opposite corners, the rhombus is formed.
Let be a rhombus then its area can be evaluated in two ways:
(1) When one side and the include angle is given: Let one side be equal to “ ” with include angle . Since, the diagonal divides the rhombus into two equal triangle, therefore
Area of the rhombus    Area of the rhombus
(2) When two diagonal are given: Let and be the length of the diagonal and respectively and since, the rhombus is divided into four equal triangles, therefore
Area of the rhombus     Area of the rhombus
Example: The length of each side of a rhombus is cm and two of its opposite angles are each. Find the area. Solution: Given that each side, and  Area of the rhombus    square cm
Example: The diagonal of a rhombus are m and m. Find its area. Solution: Given that diagonal are m and m
Area of the rhombus   Square m
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