# In ∆ABC, AB = 5 c

Given: AB = 5 cm

BC = 8 cm

CA = 7 cm

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

By the midpoint theorem,

DE = �AC

DE = � × 7 cm

DE = 3.5 cm

Hence, the length of DE = 3.5 cm

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