Question

the perimeter of a triangle is 18m and their sides ratio is 2:3:4 , then the smallest side is.
a)2m
b)4m
c)6m
d)8m

Answer 1

a+b+c = 288 meters          a:b:c = 3:4:5  

let a= 3x  b = 4 x    c = 5 x    where x  is some number

a+b+c  = x(3+4+5) = 12 x          So 12 x = 288 meters

x  =  24 meters  

So a = 72 m  b = 96 m  c = 120 meters

If the sides of a triangle are in the ratio of 3 : 4 : 5, then it is  a right angle trianlgle.

Its area is  1/2 a b .    (a, b are smaller sides. c hypotenuse)

So Area  =  1/2  72 * 96  = 3456 meter²

IF the sides are not in a right angle triangle, the n  find s and use formula for area

Answer 2

let the three sides be2x,3x,4x.
perimeter=sum of all sides
2x+3x+4x=18
9x=18
x=18/9
x=2
i.e the sides are 4,6,8
smallest side= 4m
option:b