Question

Which of the following can be the sides of the triangle?

$4\mathrm{cm},3\mathrm{cm}\text{and}5\mathrm{cm}$

Answer 1

Since the sum of any two sides of a triangle is greater than the third side.

Sum of two given sides ,$4\mathrm{cm},3\mathrm{cm}$

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

Now, $7>\hspace{0.17em}5$ [Third side$=5\mathrm{cm}$]

So we can construct the triangle.

Hence, the given sides can be the sides of the triangle.