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Basic relations between elements of triangle

Law of cosines. Law of sines. Law of tangents.
Area formulas. Heron's  formula.
Radii of circumscribed and inscribed circles.

Designations: a, b, c sides;  A, B, C angles of triangle;  p = ( a + b + c ) / 2  - a half-perimeter;  h a height;  S an area;  R, r    radii of circumscribed and inscribed circles correspondingly.

Law of cosines:

Law of sines:

Law of tangents:

 Area formulas:

Radii of circumscribed and inscribed circles:

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