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To find the number of diagonals in a polygon with ( n ) sides, you can use the formula ( \frac{n(n-3)}{2} ). For a 17-gon, substituting ( n = 17 ) gives:

[ \frac{17(17-3)}{2} = \frac{17 \times 14}{2} = \frac{238}{2} = 119. ]

Thus, a 17-gon has 119 diagonals.

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6mo ago

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Related Questions

How many diagonals are in a 17-gon?

There are 119 diagonals.


What is 20-diagonals?

In geometry, a 20-diagonal refers to the number of diagonals in a polygon with 20 sides (20-gon). The formula to calculate the number of diagonals in a polygon with ( n ) sides is given by ( \frac{n(n-3)}{2} ). For a 20-gon, this results in ( \frac{20(20-3)}{2} = \frac{20 \times 17}{2} = 170 ) diagonals. Thus, a 20-gon has 170 diagonals.


How many diagonals does a 17-gon have?

A n sided figure has 1/2 n(n - 3) diagonals → a 17-gon has 1/2 x 17 x (17 - 3) = 1/2 x 17 x 14 = 119 diagonals


How many diagonal has 17-gon?

It has 0.5*(17^2 -3*17) = 119 diagonals


What is the name of a polygon with 17 sides?

17-gon - After the dodecagon (12 sided polygon), there is usually just n-gon, where n is the number of sides the polygon has.


What is the name of polygon with 17 sides?

17-gon - After the dodecagon (12 sided polygon), there is usually just n-gon, where n is the number of sides the polygon has.


How many diagonals can be drawn from any vortex 20-sided polygon?

17


How many diagonals can be drawn from any vertex of a 20 sided polygon?

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How many diagonals does a 20-sides polygon have?

A polygon with n sides had n*(n-3)/2 diagonals. So a 20 sided polygon would have 20*17/3 = 170


How many diagonal in 17 sided polygon?

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Can you have a list of 2 d shapes please?

Circle (though a circle is not a polygon)TriangleQuadrilaterals:RectangleSquareParallelogramRhombusPentagonHexagonHeptagonOctagonNonagonDecagonAny polygon with more than ten sides can be denoted n-gon (for example, a 17-sided shape would be a 17-gon)


How many triangles are their in a 17 gon?

There are 15 triangles in a 17-agon