Sides of a triangle are in ratio 2 : 3 : 4. Its perimeter is 27 cm. Find the length of each side.
The perimeter of a triangle means the sum of its boundary or all three sides.
Answer: The lengths of the sides of a triangle whose sides are in the ratio 2 : 3 : 4 with perimeter 27 cm are 6 cm , 9 cm and 12 cm.
Let's find the length of each side
Given: The sides of the triangle are in the ratio 2: 3: 4
Perimeter of the triangle = 27cm
Let's consider these sides to be 2x, 3x and 4x
Perimeter of a triangle is the sum of all the three sides
Therefore, 2x + 3x + 4x = 27 (since, perimeter is given as 27)
9x = 27
x = 3
Thus, by back substituting the value of x in 2x, 3x and 4x we get,
2x = 2 × 3 = 6
3x = 3 × 3 = 9
4x = 4 × 3 = 12