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(#M40015200) MBA question mensuration, geometry & co-ordinate geometry Keep an EYE

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

Asked In MBA (11 years ago)

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Neeraj  (7 years ago)

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

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