ABC is triangle. The medians CD and BE intersect each other at O. then triangle ODE : triangle ABC is ?

1) 1:3
2) 1:4
3) 1:6
4) 1:12

• In two triangles if the heights are same then area is in the ratio of bases
  
  Let Area of ODE be A
  In triangle ODE and CDE,
  height is same => area of CDE = 3A .......(·.· centoid divides median in ratio 2 : 1)
  
  In triangle ADC and EDC,
  height is same => area of ADC = 6A
  
  In triangle ADC and ABC,
  height is same => area of ABC = 12A
  
  .·. ratio of area = 1 :12
• 7 years agoHelpfull: Yes(0) No(1)