Question

semi perimeter of a scalene triangle with side k,2k,3k is

Answer 1

Given,

Sides of a scalene triangle = k, 2k, and 3k.

To Find,

The semi perimeter of the triangle.

Solution,

The formula for calculating the semi perimeter of a triangle is

Semi perimeter = (sum of sides of the triangle)/2

Here, the sides of the triangle are

k, 2k, and 3k

Semi perimeter = (k+2k+3k)/3

Semi perimeter = 6k/3

Semi perimeter = 2k

Hence, the semi perimeter of the triangle is 2k.

Answer 2

We must recall that:

The semi perimeter of a triangle is calculated by dividing the perimeter of the triangle by two. 'Semi' means half, that is why the semi perimeter of a triangle is half the value of the perimeter.

Given:

Side of a triangle $k,2k,3k$ ...The formula for calculating the semi perimeter of a triangle is

Semi perimeter = (sum of sides of the triangle)/2

Here, the sides of the triangle are

$k,2k$ and $3k$

Semi perimeter $=\frac{(k+2k+3k)}{3}$

Semi perimeter $=\frac{6k}{3}$  

Semi perimeter $=2k$

Hence, the semi perimeter of the triangle is $2k.$