Tangent of Half Angle in Triangle/Also presented as
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Tangent of Half Angle in Triangle: Also presented as
The Tangent of Half Angle in Triangle formula is also seen presented in the following form:
| \(\ds \tan \dfrac A 2\) | \(=\) | \(\ds \dfrac r {s - a}\) | ||||||||||||
| \(\ds \tan \dfrac B 2\) | \(=\) | \(\ds \dfrac r {s - b}\) | ||||||||||||
| \(\ds \tan \dfrac C 2\) | \(=\) | \(\ds \dfrac r {s - c}\) |
where:
| \(\ds s\) | \(=\) | \(\ds \dfrac {a + b + c} 2\) | ||||||||||||
| \(\ds r\) | \(=\) | \(\ds \sqrt {\dfrac {\paren {s - a} \paren {s - b} \paren {s - c} } s}\) |
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): half-angle formulae: 2.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): half-angle formulae: 2.