To find the length of each side of the triangle, we start by defining the sides based on the given ratio. Let the sides be represented as:
- 2x (first side)
- 3x (second side)
- 4x (third side)
According to the problem, the perimeter of the triangle is the sum of all three sides, which can be written as:
2x + 3x + 4x = 27 cm
Simplifying this expression gives us:
9x = 27 cm
Now, we can solve for x:
x = 27 cm / 9 = 3 cm
Now that we have the value of x, we can find each side:
- First side: 2x = 2 * 3 cm = 6 cm
- Second side: 3x = 3 * 3 cm = 9 cm
- Third side: 4x = 4 * 3 cm = 12 cm
Thus, the lengths of the sides of the triangle are:
- 6 cm
- 9 cm
- 12 cm
In conclusion, the triangle has sides measuring 6 cm, 9 cm, and 12 cm, maintaining the ratio of 2:3:4 and conforming to the given perimeter.