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