Answer:
No
Explanation:
To determine if the side lengths could form a triangle, we use the triangle inequality.
By the triangle Inequality, If the sum of the lengths of any two sides is greater than the third side, then they can form a triangle.
Given the side lengths: 16m, 21m, 39m
[tex]\begin{gathered} 16+21>39 \\ 37>39\text{ (False)} \end{gathered}[/tex]Similarly:
[tex]\begin{gathered} 16+39>21 \\ 55>21\text{ (True)} \end{gathered}[/tex]Finally:
[tex]\begin{gathered} 39+21>16 \\ 60>16\text{ (True)} \end{gathered}[/tex]• We see that ,the sum of the two lengths (16 and 21) is not greater than the third side 39.
,• Although the other two cases hold, the three cases must hold for it to form a triangle.
Thus, the side lengths cannot form a triangle.