Question

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

Answer 1

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.