$D, E a n d F$ are the mid-point of the sides $B C, C A a n d A B$ respectively of the triangle $A B C$ . Which of the following is true?

A B = - -- \to 2 E D - -- \to

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A B = - -- \to 2 D E - -- \to

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A B = - -- \to E D - - \to

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A B = - -- \to 2 D F - - \to

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Solution

The correct option is A $A B = - -- \to 2 E D - -- \to$
$F r o m t h e f i g u r e$
$E D = D G . . . . . . . . . . . . (i)$
$E G = A B . . . . . . . . . . . (i i)$
$E D + D G = A B$
$\Rightarrow E D + E D = A B (f r o m (i))$
$2 E D = A B$

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