Question

Determine whether a triangle can have the following sides with the given lengths

Answer 1

For the length to be sides of a triangle, the sum of any two sides triangle must be greater than third side.

`\begin{gathered} 19+5>15 \\ 24>15 \end{gathered}`

Condition is true.

`\begin{gathered} 15+5>19 \\ 20>19 \end{gathered}`

Condition is true.

`\begin{gathered} 19+15>5 \\ 34>5 \end{gathered}`

Condition is true.

The triangle inequality satisfied for the triangle. So length belongs to a side of triangle.

Answer: yes