Question

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

$45\mathrm{mm},50\mathrm{mm}\text{and}135\mathrm{mm}$

Answer 1

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

Sum of two given sides ,$45\mathrm{mm},50\mathrm{mm}$

$$\begin{gathered} =45+50 \\ =95 \end{gathered}$$

Now, $95<135$ [Third side$=135\mathrm{mm}$]

So we can not construct the triangle.

Hence, the given sides can not be the sides of the triangle.