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

Question

asked Oct 18, 2023 168k views

1 Answer

Zmonteca · Answer 1 · 2023-10-22T11:20:01+0000

Answer:

Impossible

Step-by-step explanation:

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

$a+b\ge c$

Given the side lengths 6,7 and 14:

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

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