Asked by VeRoNiCa C.

Find x if DP= 4x-3 and CP=30
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
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