Solve the problem.
-$$\text { If a polygon, of } n \text { sides has } \frac { 1 } { 2 } n ( n - 3$$
A) 28 sides
B) 26 sides
C) 29 sides
D) 27 sides

Question

Quizplus · Accepted Answer

The formula given is for calculating the number of diagonals in a polygon, which is $\frac{1}{2}n(n - 3)$. To find the number of sides $n$ when the number of diagonals is given, we rearrange the formula to solve for $n$. Assuming the number of diagonals is $d$, we have $d = \frac{1}{2}n(n - 3)$. Without a specific number of diagonals provided in the problem statement, we can't directly solve for $n$. However, given the options, we can plug each value of $n$ into the formula to see which one makes a logical number of diagonals. The correct option, D, implies there was likely a typo or omission in the problem statement regarding the exact number of diagonals. Assuming a typical scenario where the problem might have intended to find the number of sides for a given number of diagonals, option D (27 sides) is selected based on the options provided, but without the specific number of diagonals, this solution involves an assumption based on the provided options.

Solve the Problem If a polygon, of n sides has 12n(n−3\text { If a polygon, of } n \text { sides has } \frac { 1 } { 2 } n ( n - 3 If a polygon, of n sides has 21​n(n−3

Solve the Problem $\text { If a polygon, of } n \text { sides has } \frac { 1 } { 2 } n ( n - 3$