SOLUTION: A, B, and C are points on a line with B between A and C. Let M and N be the midpoint and BC, respectively. If AB:BC=5:1, what is AB:MN?

Algebra ->  Points-lines-and-rays -> SOLUTION: A, B, and C are points on a line with B between A and C. Let M and N be the midpoint and BC, respectively. If AB:BC=5:1, what is AB:MN?      Log On


   

Question 317442: A, B, and C are points on a line with B between A and C. Let M and N be the midpoint and BC, respectively. If AB:BC=5:1, what is AB:MN?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

I assume you mean M is the midpoint of AB and N is the midpoint of BC.
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AM=MB=+%281%2F2%29AB
BN=NC=+%281%2F2%29BC
MN=MB%2BBN
MN=%281%2F2%29AB%2B%281%2F2%29BC
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2MN=AB%2BBC
2MN=AC
highlight%28MN%2FAC=1%2F2%29
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+AB%2FBC=5%2F1
%28AB%2FAC%29%2F%28BC%2FAC%29=%285%2F6%29%2F%281%2F6%29
highlight%28AB%2FAC=5%2F6%29
AB%2FMN=%28AB%2FAC%29%2F%28MN%2FAC%29=%285%2F6%29%2F%281%2F2%29
highlight_green%28AB%2FMN=5%2F3%29