In $Δ A B C$ , AB $= 5$ cm, $B C = 8$ cm and $C A = 7$ cm. If D and E are respectively, the mid-points of AB and BC, then determine the length of DE.

3.5

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2.5

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2.8

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2.0

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Solution

The correct option is A $3.5$ cm
Mid-Point Theorem :
The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half the third side.
On applying the midpoint theorem, we get
$D E = \frac{A C}{2} = \frac{7}{2} = 3.5$ cm

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