Question

The side lengths of a triangle are 10 cm, 5.5 cm, $k$ cm, where $k$ is a whole number. What is the minimum value of $k$?

• A. 5.5
• B. 5
• C. 4
• D. 4.5

Answer 1

The correct option is B 5

We know that, the sum of the lengths of any two sides is always greater than the third side.

$k+5.5>10k>10-5.5k>4.5$

i.e., $k$ can take values greater than 4.5.
Since $k$ is a whole number. The whole number greater than 4.5 is 5