ANSWER IS 6cm,12cm,18cm
BECAUSE;

1:2:3=36cm

1x+2x+3x=36cm

6x=36cm

therefore, x=6cm

1x=6cm
2x=6cm×2=12cm
3x=6cm×3=18cm

therefore, sides of a triangle are 6cm,12cm,18cm.

**Problem statement:**
The sides of a triangle are in the ratio 1:2:3. If the perimeter is 36 cm, find its sides.

**Solution:**
Let the sides of the triangle be x, 2x, and 3x.
Then, the perimeter of the triangle is given by:
Perimeter = x + 2x + 3x = 6x = 36 cm

Therefore, x = 6 cm.

Hence, the sides of the triangle are:
- First side = x = 6 cm
- Second side = 2x = 2 * 6 cm = 12 cm
- Third side = 3x = 3 * 6 cm = 18 cm

We can verify that these sides satisfy the triangle inequality, which states that the sum of any two sides of a triangle must be greater than the third side.

In this case, the sum of the first and second sides is 6 cm + 12 cm = 18 cm, which is greater than the third side of 18 cm.
Similarly, the sum of the first and third sides is 6 cm + 18 cm = 24 cm, which is greater than the second side of 12 cm.
Finally, the sum of the second and third sides is 12 cm + 18 cm = 30 cm, which is greater than the first side of 6 cm.

Therefore, the sides of the triangle are 6 cm, 12 cm, and 18 cm.