Question

Can a triangle be constructed with sides of given lengths?

$2,6,4$

Answer 1

According to triangles inequality, the sum of two sides of a triangle should be greater than the third side.

By taking two sides at a time, let's verify triangles inequality for a triangle having sides $2,6,4$

$$\begin{gathered} 2+6=8>4 \\ 2+4=6=6 \\ 4+6=10>2 \end{gathered}$$

Since, the above sides does not satisfy the triangles inequality, therefore the triangle cannot be constructed.