Question

$ABC$ is a traingle having two of its sides as $15.6$ cm and $10.6$ cm. Also, $15.6$ cm side length is the largest one. The third side of triangle will be -

• A. equal to $5$ cm.
• B. less than $5$ cm.
• C. greater than $5$ cm.
• D. any dimension.

Answer 1

The correct option is C greater than $5$ cm.

We know that in any triangle, the sum of any two sides of any triangle must be greater than the third side.

Let third side be $a$
According to condition to be a triangle: $10.6+a>15.6$
$\Rightarrow a>15.6-10.6\Rightarrow a>5$

Also, the third side cannot be greater than $15.6$cm
$\therefore$ The third side should be greater than $5$ cm.
$\Rightarrow$ Option $\left(c\right)$ correct.