Question

07. Usando a fórmula de diagonais, sendo
d =
n(n−3)
2
calcule o valor do número de diagonais
de um dodecágono (polígono de 12 lados).

Answer 1

Explicação passo-a-passo:

d = (n(n - 3))/2

n = 12

d = (12(12 - 3))/2

d = 12.9/2

d = 6.9

d = 54 diagonais

entendeu ?

Answer 2

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

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

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

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

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