Answer :

__Given:-__ DE=2cm

__Formula used:-__ Line joining midpoints of 2 sides of triangle will be

half of its 3^{rd} side.

__Solution:-__

Assume mid points of line AB and AC is M and N

The formation of new triangle will be there Δ AMN

As;

⇒ AC=4AE

and

∴ AM=2AE

Hence;

E is the midpoint of AM

Similarly

D is the midpoint of AN

→ In Δ AMN

If E,D are midpoints

ED=MN

MN=2ED

MN=2×2cm=4cm

→ In Δ ABC

If M,N are midpoints

AB=MN

AB=2MN

AB=2×4cm=8cm

__Conclusion:-__

BC=8cm

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