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Questions  

A(5,4,6), B(1,1,3) and C(4,3,2) form ABC. If the internal bisector of angle A meets BC in D

 then the length of AD¯ is 

a
18170
b
38170
c
58170
d
78170

detailed solution

Correct option is B

Given A(5,4,6), B(1,−1,3) and C(4,3,2) ⇒AB=c=50, BC=a=26 and CA=b=18 ∴length of the internal angle bisector through A=bc1-a2b+c2                                                                                        =38170

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