Question

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

$6\mathrm{cm},8\mathrm{cm}\text{and}7\mathrm{cm}$

Answer 1

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

Sum of two given sides ,$6\mathrm{cm},8\mathrm{cm}$

$$\begin{gathered} =6+8 \\ =14 \end{gathered}$$

Now, $14>\hspace{0.17em}7$ [Third side$=7\mathrm{cm}$]

So we can construct the triangle.

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