Question

The sides of a triangle are in the ratio 2:3:4. If its perimeter is 54 cm, find the lengths
of the sides of the triangle.​

Answer 1

Answer:

The sides of the triangle are 12, 18 and 24.

Step-by-step explanation:

Given : The sides of a triangle are in the ratio 2 : 3 :4. If the if its perimeter is 54 cm.

To find : Its length of sides of the triangle ?

Solution :

Let the number be 'x'.

So, sides of triangle is 2x,3x and 4x.

The perimeter is sum of sides of triangle.

$\mathcal{2X+3X+4X=54}$

$\mathcal{9X=54}$

$\mathcal{X=}$ $\displaystyle\frac{54}{9}$

x=6

The sides of the triangle are

2x= 12cm

3x= 18cm

4x= 24cm

The sides of the triangle are 12, 18 and 24.