Question

Prove that: “The line segment joining the mid –point of two sides of a triangles is parallel to the

third side​

Answer 1

Answer:

The line-segment joining the mid-points of any two sides of a triangle is parallel to the third side and is half of it. ... The quadrilateral formed by joining the mid-points of the sides of a quadrilateral, in order, is a parallelogram.

Answer 2

Step-by-step explanation:

Let A be origin and B(

b

),C(

0

)

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

2

b

and

2

c

⇒DE is parallel to

2

b

−

c

or

b

−

c

Also BC is parallel to

b

−

c

⇒DE∣∣BC;∣

DE

∣=

2

∣

b

−

c

∣

;

∣

BC

∣=∣

b

−

c

∣

⇒∣

DE

∣=

2

∣

BC

∣