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L and M are respectively the points on t...

L and M are respectively the points on the sides DE and DF of a triangle DEF, such that DL = 4, `LE=4/3,DM=6` and `DF=8`. Is `Lmabs()EF`? Give reason.

Text Solution

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The correct Answer is:
Yes, because `(DL)/(LE)=(DM)/(MF)=3`
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Knowledge Check

  • If D, E and F are respectively the mid-points of sides BC,CA and Ab of a triangle ABC . If EF = 3 cm, FD = 4 cm and AB = 10 cm, then DE, BC and CA respectively will be equal to :

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    10/3, 9 and 12 cm
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    A
    6, 8 and 20 cm
    B
    4, 6 and 8 cm
    C
    5, 6 and 8 cm
    D
    `(10)/(3)`, 9 and 12 cm
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