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A decagon.
Proof:
In an n sided polygon, each vertex would be have (n-3) diagonals attached to it, as it would be connected to every vertex other than itself and the two next to it by a diagonal. There are n sides, so there are n(n-3) ends of diagonals. Therefore there are (n(n-3))/2 diagonals in the polygon.
Taking the number of diagonals to be 35, we have:
(n(n-3))/2 = 35
n(n-3) = 70
which gives the quadratic
n2-3n-70 = 0
Solving this gives n = 10 and -7. -7 can be ignored, so the answer is 10.
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∙ 12y ago
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How many diagonals are in a 35 side polygon?
There are 560 diagonals by using the diagonal formula
How many diagonals can you drawn from one vertex in a 35 sided polygon?
A diagonal of a polygon is a segment drawn from one vertex to another non-adjacent vertex in a polygon. This leaves 32 diagonals that can be drawn from one vertex in a 35 sided polygon.
If a polygon has a total of 560 diagonals how many vertices does it have?
if a polygon has 560 diagnose how many vertices does it have
104 diagonals polygon?
A polygon that has 104 diagonals will have 16 sides
What regular polygon has 9 diagonals?
A regular octadecagon (an eighteen sided polygon) would have nine diagonals.
How many diagonals are in a10 sided polygon?
It has 35 diagonals
How manydiagonals does a polygon of 10sides have?
35 diagonals
If a polygon has 35 diagonals then how many sides does it have?
(35*(35-3))/2 (35*32)/2 1120/2 560 diagonals
How many diagonals are in a 35 side polygon?
There are 560 diagonals by using the diagonal formula
How many sides does a polygon have when it has 35 diagonals?
It will have ten sides
How many sides does a polygon have with 35 diagonals?
It has 10 sides because using the formula 0.5*(102-30) = 35 diagonals
How many diagonals can you drawn from one vertex in a 35 sided polygon?
A diagonal of a polygon is a segment drawn from one vertex to another non-adjacent vertex in a polygon. This leaves 32 diagonals that can be drawn from one vertex in a 35 sided polygon.
How many diagonals are there in a 35-sided polygon?
The number of diagonals is n(n-1)/2 - n substitute n=35 35(34)/2 - 35 = 560
How many diagonals does a 10 sided polygon have?
100 diagonals * * * * * No, it is 0.5*10*(10-3) = 35
If a polygon has a total of 560 diagonals how many vertices does it have?
if a polygon has 560 diagnose how many vertices does it have
How many diagonals can you draw from one vetex in a polygon with 35 sides?
It depends if the polygon is convex or concave but if it is a regular polygon it would have 560
What is the name of a regular polygon that has 95 diagonals?
There is no such polygon that has 95 diagonals because a 15 sided polygon has 90 diagonals and a 16 sided polygon has 104 diagonals.
