geometry
posted by CC .
If R is the midpoint of AB and S is the midpoint of BC and AS:SC=3:2, determine the length of BS if AC=50.

I will assume that AC is the longest and B is between A and C
let AR = RB = x
let BS = SC = y
given: (2x+y)/y = 3/2
3y = 4x+2y
y = 4x
also : 2x + 2y = 50
x + y = 25
x + 4x = 25
x = 5
then BS = y = 4x = 20
Respond to this Question
Similar Questions

Geometry
Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point B is the midpoint? 
Geometry
J is the midpoint of Gk, H is the midpoint of GJ and I is the midpoint of Hj. Suppose GK=64. Find the measure of HJ 
geometry
in triangle GHJ, k(2,3) is the midpoint of GH, l(4,1) is the midpoint of HJ and m(6,2) is the midpoint of GJ. Find the coordinates of G,H and J. can you please show me how to find this? 
geometry
in triangle GHJ, K(2,3) is the midpoint of GH, L(4,1) is the midpoint of HJ, M(6,2) is the midpoint of GJ. Find the coordinates of G, H, and J. 
geometry
In triangle DEF, A(2,3) is the midpoint of DE, B(4,1) is the midpoint of EF, and C(6,2) is the midpoint of DF. What are the coordinates of D, E, and F? 
geometry
Triangle ABC, AB=8, BC=10, and AC=12, M is the midpoint of AB, and N is the midpoint of BC. What is the length of MN? 
geometry
in segment pt, l is the midpoint of pa and a is the midpoint of pn. if pn = 17 and la = 3.5, what is the length of nt? 
Math (Geometry)
Square ABCD has M as the midpoint of AB, N as the midpoint of BC, P as the midpoint of CD and Q as the midpoint of MP. If [AMNPDQ]=20, what is the value of [ABCD]? 
Geometry; Check answers?
For each graph, find (a)AB to the nearest tenth and (b)the coordinates of the midpoint of AB. 1. Coordinates are A(9, 6) B(6,6) D=19.2 Midpoint=(1.5,6) 2.A(2,2) B(8,6) D=10.77 midpoint= (3,4) 3. A(0,3) B(2,2) D=5.4 Midpoint= … 
Geometry
Did I solve the following correctly? I had to the fin the midpoint. A (3, 2) B (5, 4) I did the midpoint formula: M(3+5/2, 2+ 4/2=M (2/2, 2/2). Is (2/2, 2/2) the correct midpoint?