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To determine the number of sides in a polygon with 14 diagonals, we can use the formula for the number of diagonals in a polygon: D = n(n-3)/2, where n is the number of sides. By setting D = 14 and solving for n, we get n(n-3)/2 = 14. Simplifying this equation, we find that n^2 - 3n - 28 = 0. Factoring this quadratic equation, we get (n-7)(n+4) = 0. Therefore, the polygon has either 7 or -4 sides. Since the number of sides cannot be negative, the polygon must have 7 sides.
What else can I help you with?
What polygon has twice as many diagonals as sides?
An heptagon has 7 sides and 14 diagonals
How many diagonals does a heptagon have?
A polygon with n sides has n(n-3)/2 diagonals. A heptagon has 7 sides giving it 7(7-3)/2 = 14 diagonals.
How many diagonals does a polygon with 14 sideshave?
Using 1/2*(n2-3n) where n is the number of sides it will have 77 diagonals
How many diagonals are in a 14 sided polygon?
The formula for finding the amount of diagonals in a polygon is n(n-3)/2. So 14(14-3)/2 = 77 Diagonals
How many diagonals does tetra-decagon have?
A tetra-decagon is a 14 sided polygon having 77 diagonals
How many diagonals are in a polygon with 14 sides?
There are 77 diagonals
How many number of side does it have in a closed polygon with 14 diagonals?
A polygon with 14 diagonals will have 7 sides
How many sides are there in the polygon if the number of diagonals is twice as the number of sides?
A 7 sided polygon has 14 diagonals
What polygon has twice as many diagonals as sides?
An heptagon has 7 sides and 14 diagonals
How many sides does a polygon have with 14 diagonals?
7
A closed polygon has 14 diagonals. how many numbers of sides does it have?
It will have 7 sides
How many diagonals in a polygon with 14 sides?
Using the formula: 0.5*(142-42) = 77 diagonals
How many diagonals can be drawn in a polygon of 14 sides?
1/2*(142-42) = 77 diagonals
How many diagonals does a heptagon have?
A polygon with n sides has n(n-3)/2 diagonals. A heptagon has 7 sides giving it 7(7-3)/2 = 14 diagonals.
How many diagonals does a polygon with 14 sideshave?
Using 1/2*(n2-3n) where n is the number of sides it will have 77 diagonals
How many diagonals a heptagon has?
6 * * * * * No! The number of diagonals in a polygon with n sides is 1/2*n*(n - 3). So when n = 7 this gives the number of diagonals in a heptagon is 14.
How many diagonal in a heptagon?
12 * * * * * Not so. A polygon with n sides has 1/2*n*(n - 3) diagonals. In this case, n = 7 and so there are 14 diagonals.
