Question

Can a triangle be constructed with sides of given lengths?

$8,10,12$

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 $8,10,12$

$$\begin{gathered} 8+10=18>12 \\ 8+12=20>10 \\ 10+12=22>8 \end{gathered}$$

Since, the above sides satisfy the triangles inequality,

Therefore the triangle can be constructed.