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Question

# In the given figure, D and E are mid points of sides AB and AC of △ABC. Which of the following is true ?

A

DE=12BC, by mid point theorem

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B

DE=12BC , by converse of mid point theorem

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C

DE=12AB, by mid point theorem

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D

DE=12AB, by converse of mid point theorem

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Solution

## The correct option is A DE=12BC, by mid point theorem Mid point theorem states that a line joining the mid points of 2 sides of a triangle is parallel to the third side and is half of it. Therefore, by mid point theorem, DE=12BC and DE ||BC.

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