Question

the sides of traingle are in the ratio 2:3:4if its perimeter is 54 cm find the length of the sides of the traingle

Answer 1

2x+3x+4x=54
9x=54
X=54/9
X=6
2x=2*6=12
3x=3*6=18
4x=4*6=24

Answer 2

Given, the ratio of Triangles = 2:3:4
Perimeter = 54 cm

Let the ratios be 2x, 3x and 4x

So, as we know,

$\bf \: Sum \: of \: sides \: of \: triangles = Perimeter$

So, putting the values we get,

2x + 3x + 4x = 54

9x = 54

x = 54/9

x = 6

1st side = 2x
= 2(6)
= 12 cm

2nd side = 3x
= 3(6)
= 18 cm

3rd side = 4x
= 4(6)
= 24 cm

$\bf \:So, \: the \: lengths \: of \: three \: sides \\ \bf \: of \: triangle \: are \: 12cm, 18cm \: and \: 24cm$