Basic relations between elements of triangle
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8-2-2017
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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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