Question

Which of the following can be sides (in $\text{units}$) of a triangle ?

• A. $1,2,3$
• B. $2,3,4$
• C. $3,4,5$
• D. $2,5,8$

Answer 1

Answer: (B), (C)

$3,4,5$

We know, for a triangle whose sides are $a,b,c$
$|a-b|<c,|b-c|<a,|c-a|<b$ and $a+b>c,b+c>a,c+a>b$
Option $\left(i\right):1+2=3$
Hence it does not satisfy the above conditions.
Option $\left(ii\right):$ Satisfy above all conditions.
Option $\left(iii\right):$ Satisfy above all conditions.
Option $\left(iv\right):2+5<8$
Hence it does not satisfy the above conditions.