Properties of triangles:
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In the triangle ABC, the angles are can be by capital letters A, B, and C and the lengths of sides opposite to these angles can be denoted by small letters a, b, and c respectively. The semi perimeter of the triangle is written as  and its area can be denoted by S or D.
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- Sine rule:
, here R is radius of circumcircle of the ΔABC.
- Cosine rule:
- Projection rule: a = b cosC + c cosB, b = c cosA + a cosC, c = a cosB + b cosA.
- Napier's analogy:
Auxiliary Formulae
- Trigonometric ratios of half - angles
here R and r are the radii of the circumcircle and the incircle of ΔABC
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