Question

Can a triangle have three sides whose lengths are

$3.4cm,4.7cm,6.2cm?$

Answer 1

If the sum of two sides of a triangle is greater than the third side for all possible pairs only than a triangle is possible

Step 1 : Take any two sides, and check if the sum is greater than the third side

$4.7+6.2=10.9>3.4$

Step 2 : Repeat the process for all the other pairs

$$\begin{gathered} 3.4+6.2=9.6>4.7 \\ 3.4+4.7=8.1>6.2 \end{gathered}$$

Since in all the pairs the condition holds true

Hence the triangle is possible