Prove that if one convex polygon lies inside another one, then the perimeter of the inner polygon does not exceed the perimeter of the outer polygon.
The sum of the lengths of projections of a convex polygon sides on any line is equal to double length of the projection of a polygon on this line. Therefore, the sum of the lengths of projections of the sides’ vectors to any line for inner polygon is not greater than for the outer. Consequently, the sum of the lengths of the sides’ vectors, i.e. perimeter, of the inner polygon is not greater than the outer.
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Just have a question. Do you also provide help in understanding a concept? Not an assignment but for my learning. If certain concepts in the book are not clear, can you provide a simplified explanation of it using math that's understandable? You can charge the equivalent of an assignment.
Some things in the chapter attachments I sent you are not clear. They do not have much solved examples either.
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