Parallelogram Formulas

Sir SagarJanuary 10, 2015January 10, 20150

Parallelogram Formulas

Sides of a parallelogram: a, b
Diagonals: $d_{1}, d_{2}$
Consecutive angle: $\alpha, \beta$
Angle between the diagonal: $\phi$
Altitude : h
Perimeter: L
Area: S

1. $\alpha + \beta = 180 ^{\circ}$
2. $d _{1}^{2} +d _{2}^{2} = 2(a^{2}+b^{2})$
3. $h = b sin \alpha = b sin \beta$
4. L = 2(a+ b)
5. $S = ah = ab sin\alpha$
$S = \frac{1}{2}d_{1}d_{2}sin\phi$

Parallelogram Formulas

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