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All Formulas to Calculate Area of a Parallelogram
Using Base and Height
- $\boxed{\red{\sf A = b × h}}$
Using Trigonometry
- $\boxed{\red{\sf A = ab \:sin\: (x)}}$
Using Diagonals
- $\boxed{\red{\sf A = \frac{1}{2}× d_1 × d_2\: sin (y)\\}}$
Where,
- b = base of the parallelogram (AB)
- h = height of the parallelogram
- a = side of the parallelogram (AD)
- x = any angle between the sides of the parallelogram (∠DAB or ∠ADC)
- $\sf d_1$ = diagonal of the parallelogram (p)
- $\sf d_2 $= diagonal of the parallelogram (q)
- y = any angle between at the intersection point of the diagonals (∠DOA or ∠DOC)
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