Find the semi-perimeter of the scalene triangle having sides as k, 2k, and 3k.

If a triangle has three sides $\mathrm{a}, \mathrm{b},$ and c, a semi-perimeter, s, and area of triangle A, then the semi-perimeter and area of the triangle are given as:

$\text{s}=\frac{\text{a}+\text{b}+\text{c}}{2}$

Area of triangle $=\sqrt{\text{s}(\text{s}-\text{a})(\text{s}-\text{b})(\text{s}-\text{c})}$

Here, the sides are k, 2k, and 3k.

Now, $\text{s}=\frac{\mathrm{k}+2\mathrm{k}+3\mathrm{k}}{2}=3\mathrm{k}$

Hence, the semi-perimeter of the scalene triangle of sides k, 2k, and 3k is 3k.