Construct two line segments with the lengths ratio 3:5.

Need help quick stuck on the problem for a long time

Step-by-step explanation:

It looks like you have no requirement that the segments be on the same line, or that one segment is divided into the ratio 3:5.

Perhaps the easiest is to draw a line, mark two points a convenient distance apart, and use your compass to repeatedly copy that length to the end of itself until you have lengths of 3 and 5. Here's one way to do that:

Segments BD and ED are in the ratio 3 : 5.

Another way to do this is to start with a segment of a length you can consider to be 8 units. Call it AB. Construct the perpendicular bisector, and call the midpoint C. Construct the perpendicular bisector of AC and call the midpoint D. Construct the perpendicular bisector of DC. Its midpoint E divides the segment so that ...

  AE : EB = 3 : 5

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