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To find the number of sides ( n ) of a polygon given the number of diagonals, we can use the formula for the number of diagonals in a polygon: ( D = \frac{n(n-3)}{2} ). Setting ( D = 1175 ), we get the equation ( n(n-3) = 2350 ). Solving the quadratic equation ( n^2 - 3n - 2350 = 0 ) using the quadratic formula yields ( n \approx 50 ). Thus, the polygon has 50 sides.
What else can I help you with?
Total of 1175 diagonal can be drawn in a polygon?
It works out that a polygon with 1175 diagonals has 50 sides
Do all polygons have diagonals?
no
What polygons have congruent diagonals but not perpendicular?
square and rectangle
How many diagonals in a cone?
A cone does not have any diagonals in the traditional sense, as diagonals are defined in polygons. A cone has a circular base and a single vertex at the top, making it a three-dimensional shape rather than a polygon. Therefore, it does not possess diagonals like a polygon does.
Which shapes diagonals do not bisect its angles?
In general, the diagonals of irregular polygons do not bisect the angles at their vertices. Specifically, in shapes such as trapezoids, kites, and irregular quadrilaterals, the diagonals may intersect at angles that do not evenly split the angles of the vertices. This contrasts with regular polygons, where diagonals do bisect angles due to their symmetrical properties.
How many diagonals in a 50 sided polygon?
50*(50 - 3)/2 = 1175 diagonals.
Total of 1175 diagonal can be drawn in a polygon?
It works out that a polygon with 1175 diagonals has 50 sides
Do all polygons have diagonals?
no
What polygons always have congruent diagonals?
Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
How many diagonals does a polygon with 32 sides have?
It has 464 diagonals. I used n(n-3)/2. Works for all polygons.
Who diagonals bisect opposite angles?
The principal diagonals of all regular polygons.
Which of these polygons has congruent diagonals but not perpendicular?
It is not possible to answer the question since there are no polygons "following".
Which figure have congruent diagonals?
All regular polygons.
What polygons have congruent diagonals but not perpendicular?
square and rectangle
Which of the following polygons always has congrunt diagonals?
rectangle
What polygons has two diagonals that are perpibdicular?
A square, a rhombus and a kite all have perpendicular diagonals that intersect at right angles
How many diagonals in a cone?
A cone does not have any diagonals in the traditional sense, as diagonals are defined in polygons. A cone has a circular base and a single vertex at the top, making it a three-dimensional shape rather than a polygon. Therefore, it does not possess diagonals like a polygon does.
