Asked by VeRoNiCa C.
                Find x if DP= 4x-3 and CP=30
            
            
        Answers
                    Answered by
            Damon
            
    Need picture or at least description thereof.
    
                    Answered by
            VeRoNiCa C.
            
    In triangle ABC,segment BF is the angle bisector of angle ABC, segment AE,segment BF, and segment CD are medians, and P is the centroid. Find x if DP=4x-3 and CP=30
    
                    Answered by
            Damon
            
    The centroid P is 2/3 of the way from C to D
so
(4x-3)2 = 30
8 x -6 = 30
8 x = 36
x = 36/8 = 9/2
                    Answered by
            Reiny
            
    The centroid divides a median in the ratio of 2:1, where the longer side is near the vertex, so
(4x-3) : 30 = 1 : 2
(4x-3)/30 = 1/2
8x - 6 = 30
8x = 36
x = 36/8 = 9/2 or 4.5
The fact that BF is the angle bisector was superfluous information and not needed. It merely shows that triangle ABC has to be isosceles, with BC = BA
    
(4x-3) : 30 = 1 : 2
(4x-3)/30 = 1/2
8x - 6 = 30
8x = 36
x = 36/8 = 9/2 or 4.5
The fact that BF is the angle bisector was superfluous information and not needed. It merely shows that triangle ABC has to be isosceles, with BC = BA
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