Question

The sides of a triangle are in the ratio 3:2:4 and its perimeter is 18cm.The length of the smallest side is

Answer 1

Answer:

4

Step-by-step explanation:

let n be common multiple of the given sides,then, side a=3n,b=2n and c=4n

now,

sum of all sides=perimeter of the triangle=3n+2n+4n=18

9n=18

so multiple n=2hence , smallest side =2n=4

Answer 2

Answer:

let the sides be 3x, 2x, 4x

perimeter of a triangle = 18 cm

we know that,

perimeter of a triangle = sum of all sides

3x + 2x+ 4x =18

9x=18

x=2 cm

By substituting x=2 in sides

we get 6cm , 4cm , 8cm

The length of smallest side is 4cm

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