Trigonometry
Intermediate

Triangle Area (SAS)

Area from two sides and the included angle.

Formula

Area=12absin⁡C\text{Area} = \tfrac{1}{2}ab\sin C

Variables

a,bSides
CIncluded angle

Example

a=6,b=8,C=30° ⇒ 12

Did You Know?

The "one-half a b sine C" area formula needs no height at all — just two sides and the angle between them.

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