Parallelogram Calculator

Area

Perimeter

Height

Diagonals

Parallelogram Properties

A = a*b*sin(theta). At 90 degrees it becomes a rectangle. Perimeter = 2(a+b).

Diagonals bisect each other. d1 = sqrt(a^2+b^2+2ab*cos(theta)), d2 = sqrt(a^2+b^2-2ab*cos(theta)).

Fundamental in physics (parallelogram law of forces) and crystallography.

Frequently Asked Questions

Area formula?

A = base x height = a*b*sin(theta). At 90 degrees becomes a*b (rectangle).

Find the height?

h = b*sin(theta). Perpendicular distance between parallel sides.

Parallelogram law?

d1^2 + d2^2 = 2(a^2 + b^2). Used in physics for vector addition.

Is a rectangle a parallelogram?

Yes. Rectangle has all 90-degree angles. Square is a special rectangle with equal sides.

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