SOLUTION: Points A, B, C, D, and E are five points on a line segment with endpoints A and E. The points are in order listed above from left to right such that DC = AB/2, BC = CD/2, AB = AE/2
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Question 1090475: Points A, B, C, D, and E are five points on a line segment with endpoints A and E. The points are in order listed above from left to right such that DC = AB/2, BC = CD/2, AB = AE/2, and AE = 12. What And you are is the length of AD?
Found 2 solutions by Fombitz, greenestamps:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Working backwards,
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Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The given information tells you, in order,...
the length of CD compared to AB;
the length of BC compared to CD; and
the length of AB compared to AE.
And it tells you the length of AE.
So instead of working with the information in the order it is given, start by seeing what you can do with the given length of AE.
You are told that AB is AE/2, so you know immediately that AB is 6.
Then you are told that CD is half of AB, so CD is 3.
And you are told that BC is half of CD, so BC is 1.5.
The problem asks you to find the length of AD, which is AB+BC+CD, or
6+1.5+3 = 10.5
The lesson here: don't think you have to use the given information in the order it is given to you!
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