The sides of a triangle are in the ratio 1/3:1/4:1/5 and its perimeter is 204 cm. What is the length of the longest triangle?

• 86.8 cm
  
  Given the ratio of sides= 1/3 : 1/4 : 1/5 = 20/60 : 15/60 : 12/60 = 20 : 15 : 12
  Let the sides be 20x, 15x and 12x then Perimeter= 20x+15x+12x = 204 cm.
  => x= 204/47
  So the longest side=20x =20*(204/47)= 86.8
• 7 years agoHelpfull: Yes(7) No(2)
• let the sides of triangle be x/3,x/4,x/5
  therefore x/3+x/4+x/5=204=4080/47=86.8
• 7 years agoHelpfull: Yes(1) No(0)
• let side be x, therefore x/3,x/4,x/5
  EQUATIONS:
  x/2 + x/3 + x/4 = 104
  6x+4x+3x=12*104
  x=98,x/98= 48 ans is 48
• 7 years agoHelpfull: Yes(0) No(6)
• LCM of (3,4,5) is 60
  so 20x+15x+12x=204
  x=204/47=4.34
  length of the longest side= 20x= 20*4.34= 86.8cm
• 5 years agoHelpfull: Yes(0) No(0)