The equationn $D = \frac { 1 } { 2 } n ( n - 3 )$ gives the n gives the umber of diagonals D for a polygon with n sides. Use this equation to solve the problem.
-Find the number of sides n for a polygon that has 44 diagonals.
A)11 sides
B)3 sides
C)8 sides
D)12 sides

Question

The equationn   $D = \frac { 1 } { 2 } n ( n - 3 )$ gives the n gives the umber of diagonals D for a polygon with n sides. Use this equation to solve the problem.
-Find the number of sides n for a polygon that has 44 diagonals.
A)11 sides
B)3 sides
C)8 sides
D)12 sides

Quizplus · Accepted Answer

Given $D = 44$, substituting into the equation $44 = \frac{1}{2}n(n - 3)$ and solving for $n$ gives $n = 11$, indicating the polygon has 11 sides.

The Equationn D=12n(n−3)D = \frac { 1 } { 2 } n ( n - 3 )D=21​n(n−3)

The Equationn $D = \frac { 1 } { 2 } n ( n - 3 )$