0
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?
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
What polygons always have congruent diagonals?
Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
Do all polygons have diagonals?
no
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".
What polygons have congruent diagonals but not perpendicular?
square and rectangle
Which of the following polygons always has congrunt diagonals?
rectangle
Which figure have congruent diagonals?
All regular polygons.
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.
What polygons has two diagonals that are perpibdicular?
A square, a rhombus and a kite all have perpendicular diagonals that intersect at right angles
