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Triangle from Perimeter (Posted on 2013-05-04) Difficulty: 3 of 5

Let D be a point in the plane of ΔABC such that
ray AD intersects the interior of side BC.

Construct a line through D intersecting lines AB and
AC at points B' and C' respectively such that the
perimeter of ΔAB'C' equals |BC|.

See The Solution Submitted by Bractals    
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re: Possible Solution Comment 3 of 3 |
(In reply to Possible Solution by Harry)

There are two to four solutions to the problem depending on the location of point D. When you say a line exists only if D is outside the circle - outside towards A or away from A? In your case, outside away from A has no solution and on the smaller arc RS has one solution. Check out my posted solution.

  Posted by Bractals on 2013-05-12 19:55:54
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