Homework Help: geometry

Posted by CC on Sunday, September 18, 2011 at 11:22pm.

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.

geometry - Reiny, Monday, September 19, 2011 at 8:25am
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

Related Questions

geometry - Triangle ABC, AB=8, BC=10, and AC=12, M is the midpoint of AB, and N ...
Geometry - Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point...
geometry - write a 2 column proof, Given D is the midpoint of AC, E is the ...
Geometry - Given b is the midpoint of AC. AB=6x+7 and BC is 18x-4 what is the ...
geometry - In trapezoid ABCD, if the base DC = 16 and the base AB = 20 and E is ...
Geometry - Geometric Proofs.... Write a justification for each step Given: AB = ...
Geometry Please Help! - Given triangle ABC with vertices A(-6, -2), B(2,8), and ...
Math - Trigonometry problem: The sides AB and AC of triangle ABC are of lengths ...
Gemoetry question - B is the midpoint of line Ac AB=3x AC=7x-5 How do I find ...
Geography - If D is the midpoint of AC and C is the midpoint of AB and AD=3cm ...

For Further Reading

First Name:
School Subject:
Answer: