Question

Can a triangle be drawn whose sides are -

$\text{3 cm, 4 cm, 7 cm}$

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 $\text{3 cm, 4 cm, 7 cm}$

$$\begin{gathered} 3+4=7=7 \\ 4+7=11>3 \\ 3+7=10>4 \end{gathered}$$

Since, the above sides does not satisfy the triangles inequality,

Therefore the triangle cannot be constructed.