Question

Utilizando a equação que nos permite calcular o número de diagonais de polígonos, calcule quantas diagonais podem ser riscadas em um dodecágono (12 faces)

Answer 1

d = n(n-3)/2

d = 12(12-3)/2

d = 6(9)

d = 54

Answer 2

$\Large\displaystyle\begin{gathered} \tt d=\frac{n\cdot(n-3)}{2}\end{gathered}$

$\Large\displaystyle\begin{gathered} \tt d=\frac{12\cdot(12-3)}{2}\end{gathered}$

$\Large\displaystyle\begin{gathered} \tt d=\frac{12\cdot9}{2}\end{gathered}$

$\Large\displaystyle\begin{gathered} \tt d=\frac{108}{2}\end{gathered}$

$\Large\displaystyle\text{ \begin{gathered} \boxed{\red{\tt d=54}} \end{gathered} }$