KassiX418252 KassiX418252
  • 03-11-2022
  • Mathematics
contestada

a triangle has side lengths of 6,7, and 14 is it possible or impossible

Respuesta :

HelenaD919 HelenaD919
  • 03-11-2022

Answer:

Impossible

Explanation:

The side lengths a, b and c can form a triangle if the inequality holds:

[tex]a+b\ge c[/tex]

Given the side lengths 6,7 and 14:

[tex]\begin{gathered} 6+7=13\le14\text{ (This invalidates it)} \\ 6+14=20\ge7 \\ 6+13=19\ge7 \end{gathered}[/tex]

Since the inequality does not hold in all cases, it is Impossible to form sides of a triangle.

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