Question

the line segment joining the mid-points of two sides of a triangle is parallel to the third side​

Answer 1

Answer:

This is to prove Basic proportionality theorem.

Explanation:

For explanation refer to the attachment.

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Answer 2

Answer:

Let A be origin and B(b),C(0)

⇒ D and E as mid-points would have p.vs 2b and 2c

⇒DE is parallel to 2b−c or b−c

Also BC is parallel to b−c

⇒DE∣∣BC;∣DE∣=2∣b−c∣;

∣BC∣=∣b−c∣

⇒∣DE∣=2∣BC∣