SOLUTION: Determine the width of the this river, if AB = 96 m, AC = 204 m, and BD = 396 m. Here is the diagram: http://i.imgur.com/MkzoV.png The triangles are attached. I thought th

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Determine the width of the this river, if AB = 96 m, AC = 204 m, and BD = 396 m. Here is the diagram: http://i.imgur.com/MkzoV.png The triangles are attached. I thought th      Log On

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Question 439327: Determine the width of the this river, if AB = 96 m, AC = 204 m, and BD = 396 m.
Here is the diagram: http://i.imgur.com/MkzoV.png
The triangles are attached.
I thought that the width was 96 m because it's across the river, but the answer in my textbook is 115 m.
Please clarify by showing all steps.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
DE is the width of the river.
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BC+=+sqrt%28AC%5E2+-+AB%5E2%29
BC = 180
CD = 396 - 180 = 216
--------
DE = AB*216/180
DE = 115.2 m