Can I find x and y coordinates for the vertices of an octagon with sides of unequal lengths and angles?
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Knowing only the lengths of the sides, which are: 4.283, 4.227, 4.259, 4.259, 4.226, 4.246, 4.251, 4.248, can I find the x and y points of the vertices to within three decimal places? If so, how? I have a grade 10 level understanding of math.
After reading the replies, I can see how knowing only the lengths of the sides isn't enough. What if I knew the distances across opposite vertices?
geometry
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Knowing only the lengths of the sides, which are: 4.283, 4.227, 4.259, 4.259, 4.226, 4.246, 4.251, 4.248, can I find the x and y points of the vertices to within three decimal places? If so, how? I have a grade 10 level understanding of math.
After reading the replies, I can see how knowing only the lengths of the sides isn't enough. What if I knew the distances across opposite vertices?
geometry
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No. You can't determine the shape of an octagon from the lengths of its sides. You can't even determine the shape of a quadrilateral from the lengths of its sides. You need more data.
– TonyK
Nov 12 at 3:20
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up vote
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down vote
favorite
Knowing only the lengths of the sides, which are: 4.283, 4.227, 4.259, 4.259, 4.226, 4.246, 4.251, 4.248, can I find the x and y points of the vertices to within three decimal places? If so, how? I have a grade 10 level understanding of math.
After reading the replies, I can see how knowing only the lengths of the sides isn't enough. What if I knew the distances across opposite vertices?
geometry
New contributor
Knowing only the lengths of the sides, which are: 4.283, 4.227, 4.259, 4.259, 4.226, 4.246, 4.251, 4.248, can I find the x and y points of the vertices to within three decimal places? If so, how? I have a grade 10 level understanding of math.
After reading the replies, I can see how knowing only the lengths of the sides isn't enough. What if I knew the distances across opposite vertices?
geometry
geometry
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edited Nov 12 at 16:53
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asked Nov 12 at 3:09
Marciz
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32
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No. You can't determine the shape of an octagon from the lengths of its sides. You can't even determine the shape of a quadrilateral from the lengths of its sides. You need more data.
– TonyK
Nov 12 at 3:20
add a comment |
1
No. You can't determine the shape of an octagon from the lengths of its sides. You can't even determine the shape of a quadrilateral from the lengths of its sides. You need more data.
– TonyK
Nov 12 at 3:20
1
1
No. You can't determine the shape of an octagon from the lengths of its sides. You can't even determine the shape of a quadrilateral from the lengths of its sides. You need more data.
– TonyK
Nov 12 at 3:20
No. You can't determine the shape of an octagon from the lengths of its sides. You can't even determine the shape of a quadrilateral from the lengths of its sides. You need more data.
– TonyK
Nov 12 at 3:20
add a comment |
1 Answer
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No. Basically for any polygon with four or more sides, you can squish it and move the vertices. Triangles are rigid, as shown by side-side-side.
Of course! I would need angles.
– Marciz
Nov 12 at 4:21
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
No. Basically for any polygon with four or more sides, you can squish it and move the vertices. Triangles are rigid, as shown by side-side-side.
Of course! I would need angles.
– Marciz
Nov 12 at 4:21
add a comment |
up vote
1
down vote
accepted
No. Basically for any polygon with four or more sides, you can squish it and move the vertices. Triangles are rigid, as shown by side-side-side.
Of course! I would need angles.
– Marciz
Nov 12 at 4:21
add a comment |
up vote
1
down vote
accepted
up vote
1
down vote
accepted
No. Basically for any polygon with four or more sides, you can squish it and move the vertices. Triangles are rigid, as shown by side-side-side.
No. Basically for any polygon with four or more sides, you can squish it and move the vertices. Triangles are rigid, as shown by side-side-side.
answered Nov 12 at 3:20
Ross Millikan
286k23195363
286k23195363
Of course! I would need angles.
– Marciz
Nov 12 at 4:21
add a comment |
Of course! I would need angles.
– Marciz
Nov 12 at 4:21
Of course! I would need angles.
– Marciz
Nov 12 at 4:21
Of course! I would need angles.
– Marciz
Nov 12 at 4:21
add a comment |
Marciz is a new contributor. Be nice, and check out our Code of Conduct.
Marciz is a new contributor. Be nice, and check out our Code of Conduct.
Marciz is a new contributor. Be nice, and check out our Code of Conduct.
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No. You can't determine the shape of an octagon from the lengths of its sides. You can't even determine the shape of a quadrilateral from the lengths of its sides. You need more data.
– TonyK
Nov 12 at 3:20