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Cosine Law for Triangle

Find missing side and area from two sides and the angle between them.

Add to workspace

Your numbers

Calculations dey happen locally. Results na estimates, no be professional advice.

Side opposite the angle

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Use consistent units. Result follow the assumptions wey you enter.

Formula

Use a² = b²+c²−2bc cos(A) and K = bc sin(A)/2. b and c na di sides wey you enter, and A na di angle between dem for degrees. a na di opposite side and K na triangle area.

Find missing side and area from two sides and the angle between them.

Example wey show the calculation

Length of first side (m)
3
Length of second side (m)
4
Angle between the two sides (degrees)
90
Side opposite the angle
5 m
Area
6 m²

Where e fit work and limits

Use consistent units. Result follow the assumptions wey you enter.

We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.

Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.

Version of di formula: 560181d3f568 · Example don get check:

Method

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