Question

The sides of triangle are in ratio 1/2:1/3:1/4 and itsperimeter is 104 cm. The length of the longest side is

Answer 1

Let the sides are x/2,x/3,x/4
A/Q,
x/2+x/3+x/4=104. [104cm is it's perimeter]
=>(6x+4x+3x)/12=104
=>13x=104*12
=>x=(104*12)/13
=>x=96
Length of the longest side=x/2=96/2=48cm

Answer 2

Let the variable is "x"

So according to the question;

The three sides of the triangle will be,

= x/2 ; x/3 ; x/4

And the total perimeter of the triangle is 104 cm

So;

x/2 + x/3 + x/4 = 104

6x+4x+3x / 12 = 104

13x/12 = 104

x= 104×12 /13

x= 96

The length of the three sides will be;

= x/2 cm ; x/3 cm ; x/4 cm

= 48 cm ; 32 cm ; 28 cm

So the length of the triangle's longest side is 48 cm.