Question

Qual eo poligano cujo numero de lados e igual a 1/6 do numero de diagonais

Answer 1

$\Large\boxed{\begin{array}{l}\sf n=\dfrac{d}{6}\longrightarrow d=6n\\\\\sf d=\dfrac{n\cdot(n-3)}{2}\\\\\sf 6\backslash\!\!\!n=\dfrac{\backslash\!\!\!n(n-3)}{2}\\\\\sf n-3=2\cdot6\\\sf n-3=12\\\sf n=12+3\\\sf n=15\\\sf \acute e\,o\,pentadec\acute agono\end{array}}$