What is the area of a rhombus?
Solution:
A rhombus is a 2-dimensional figure with equal sides but not equal angles.
The area of a rhombus is equivalent to 4 × (the area of the right-angled triangle with semi diagonals as it sides)
Area of rhombus ABCD = 4 × (the area of the right-angled triangle OAB)
⇒ Area of rhombus ABCD = 4 × (1/2 × OA × OB )
⇒ Area of rhombus ABCD = 4 × (1/2) × (1/2 AC) × (1/2 BD)
⇒ Area of rhombus ABCD = (4 × 1/2 × 1/2 × 1/2 ) × AC × BD
⇒ Area of rhombus ABCD = (1/2) × AC × BD, where AC and BD are diagonals of the rhombus ABCD
⇒ Area of rhombus ABCD = (1/2) p × q, where p and q are the lengths of diagonals
Thus, the area of a rhombus is 1/2 × (product of the length of diagonals) denoted by pq/2.
What is the area of a rhombus?
Summary:
The area of a rhombus is 1/2 × (product of the length of diagonals).
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