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Law of Sines

The law of sines is an equation relating the lengths of the sides of a triangle (any shape) to the sines of its angles.

The sine of the angle opposite the first side divided by the length of the first side equals the sine of the angle opposite the second side divided by the length of the second side.

Formula

Sin[QuantityVariable["α", "Angle"]]/QuantityVariable["a", "Length"] == Sin[QuantityVariable["β", "Angle"]]/QuantityVariable["b", "Length"]

symbol description physical quantity
a first side length "Length"
α angle opposite first side "Angle"
b second side length "Length"
β angle opposite second side "Angle"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Law of Sines"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Law of Sines"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Law of Sines"], {QuantityVariable["\[Alpha]","Angle"] -> Quantity[60, "AngularDegrees"]}]
Out[3]=

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