AP the bisector of angle A of triangle ABC meets BC at P.of the coordinates of B,P and C are (1,-2),(2,1) and (4,7) respectively,find AB/AC



We know that distamce between the points x1,y1 and x2,y2 isdistance = x2-x12  +  y2-y12Now, BD = 2-12 + 1+22 = 1 + 9 = 10DC = 4-22 + 7-12 = 4 + 36 = 40 = 210

ANGLE BISECTOR THEOREM : It states that the internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.

Now,

    ABAC = BDDCABAC = 10210ABAC = 12

 

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