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Diagonales desde un vértice

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Diagonales de polígono

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Dominican Republic

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Diagonales desde un vértice
 

Diagonales desde un vérticeOnline version

Diagonales de polígono

by Johanny Peña
1

Si un polígono tiene n=8 lados, ¿cuántas diagonales salen desde un vértice?

2

En un pentágono, ¿cuántas diagonales salen desde un vértice?

3

Para un polígono de 6 lados, diagonales desde vértice = ?

4

¿Qué indica la fórmula d = n - 3?

5

Si n=7, ¿cuántas diagonales salen desde un vértice?

6

Para un heptágono, diaguinales desde un vértice son:

7

En un cuadrilátero (n=4), cuántas diagonales salen desde un vértice?

8

En un triángulo (n=3), diagonales desde vértice son?

9

Completa: d = n - 3, para n=9, d = ?

10

Verdadero o falso: En un decágono (n=10) salen 7 diagonales desde un vértice.

Explicación

En un vértice salen n-3 diagonales, aquí 8-3=5.

n-3 = 5-3 = 2 diagonales desde un vértice.

Se restan 3 de n: 6-3 = 3.

d representa las diagonales que salen desde un vértice.

Aplicando n-3: 7-3=4.

n-3 = 7-3 = 4 diagonales desde un vértice.

4-3=1 diagonal desde cada vértice.

Todos los vértices están conectados, no hay diagonales en un triángulo.

9-3=6 diagonales desde un vértice.

10-3=7 diagonales desde cada vértice.

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