Question

prove that the in segment joining the middle point of two sides of a triangle is parallel to the third side and equal to half of it​

Answer 1

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Prove that the line segment joining the mid point of the two sides of a triangle is parallel to the third side and equal to half the third side.

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ANSWER

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

∣

solution