Parallelogram Calculator

Calculate the properties of a parallelogram from its base, side, height, and included angle.

Last updated: June 2026 | By Patchworkr Team

Parallelogram Properties

Base

Height

Side

Angle (degrees)

Math check: height must equal side x sin(angle)

Result

Enter consistent measurements to solve the parallelogram.

Formulas

A = base x height

P = 2(base + side)

height = side x sin(angle)

d = sqrt(base^2 + side^2 +/- 2 base side cos(angle))

With base 8, side 6, and angle 60 degrees, the height is 6 sin(60 degrees) = 5.196152.

The area is 8 x 5.196152 = 41.569216 and the perimeter is 2(8 + 6) = 28.

The calculator rejects inconsistent measurements instead of silently producing impossible geometry.

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