Question

Can a triangle be constructed with sides of given lengths?

$3,5,6$

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 $3,5,6$

$$\begin{gathered} 3+5=8>6 \\ 3+6=9>5 \\ 5+6=11>3 \end{gathered}$$

Since, the above sides satisfy the triangles inequality,

Therefore the triangle can be constructed.