Question

Quantas diagonais podem ser traçados em um polígono de:
A-32 lados B-17 lados

Answer 1

$D=\frac{n(n-3)}{2}\\\\\\(a)D=\frac{32(32-3)}{2}\\\\D=\frac{32\cdot29}{2}\\\\D=\frac{928}{2}\\\\D=464\\\\\\(b)D=\frac{17(17-3)}{2}\\\\D=\frac{17\cdot14}{2}\\\\D=\frac{238}{2}\\\\D=119$


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Bons estudos! :)