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Old 08-03-2007   #1
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Default Trigonometry???

In ΔABC, what is length of the angular bisector of angle A if 'a' is the side opposite to vertex A, 'b' is the side opposite to vertex B and 'c' is the side opposite to vertex C?Please explain the steps clearly.I actually know what an angular bisector is.I want the angular bisector expressed mathematically...i.e. in general terms
Old 08-03-2007   #2
usha n
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angularbisector means symetrry of the angle! like if an angle is 90degree then bisector will be 45 degree.Vertex is to lines joinin point!i hope dis helps
Old 08-03-2007   #3
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area of the whole tringle = sum of the two triangles produced by the bisector. let the length of the bisector is L.then 1/2 Lcsin A/2 + 1/2 LbsinA/2 = 1/2 bc sin Athen 1/2 Lcsin A/2 + 1/2 LbsinA/2 = 1/2 bc 2sin A/2 cos A/2 from which L = 2bc cosA/2 / (b+c)

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