Derive the formula for the area of rhombus
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Answer:
Using Diagonals A = ½ × d1 × d2
Using Base and Height A = b × h
Using Trigonometry A = b2 × Sin(a)
Step-by-step explanation:
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Step-by-step explanation:
Let O be the point of intersection of two diagonals.
The area of the rhombus will be:
A = 4 × area of ∆ AOB
= 4 × (½) × AO × OB sq. units
= 4 × (½) × (½) d1 × (½) d2 sq. units
= 4 × (1/8) d1 × d2 square units
= ½ × d1 × d2
Therefore, Area of a Rhombus = A = ½ × d1 × d2
Where d1 and d2 are the diagonals of the rhombus
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