SOLUTION: Points A and B divide CD into the ratio 3:5:6 . |CD|=56 and A is between C and B .find the length of each segment.

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Question 649405: Points A and B divide CD into the ratio 3:5:6 . |CD|=56 and A is between C and B .find the length of each segment.
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
To divide N into the ratio a:b:c, 

1.  The part corresponding to a is a%2AN%2F%28a%2Bb%2Bc%29
2.  The part corresponding to b is b%2AN%2F%28a%2Bb%2Bc%29
3.  The part corresponding to c is c%2AN%2F%28a%2Bb%2Bc%29

To divide 56 into the ratio 3:5:6, 

1.  The part corresponding to 3 is 3%2A56%2F%283%2B5%2B6%29 = 168%2F14 = 12
2.  The part corresponding to 5 is 5%2A56%2F%283%2B5%2B6%29 = 280%2F14 = 20
3.  The part corresponding to 6 is 6%2A56%2F%283%2B5%2B6%29 = 336%2F14 = 24




Edwin