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keisanHigh-precision calculations for everyday life and work

Area of a Triangle (Given Two Sides and the Angle Between Them)

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Calculate the area, perimeter, and height of a triangle given two sides and the angle between them.
Side length a
Side length b
The angle θ between two sides
Area S 
Perimeter L 
Height h 
\(\normalsize Triangle\ (a,b,\theta\rightarrow S)\\ (1)\ area:\hspace{50px} S={\large\frac{1}{2}}ab {\hspace{1px}} \sin{\theta}\\ (2)\ perimeter:\ L=a+b+\sqrt{a^2+b^2-2ab{ {\hspace{1px}} \cos{\theta}}}\\ (3)\ height:\hspace{40px} h=b\hspace{2px} \sin{\theta}\\ \)

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