Question

In ∆ABC, D and F are midpoints of side AB and AC respectively.

If BC = 8 cm, Find the length of DF.​

Answer 1

Let G be the centroid of triangle ABC. Given E and F are the mid points of BC and AC respectively. Thus, by mid point theorem, AD∥EF

AB=2EF

AD=EF (I) (D is mid point of AB)

Now, In △ADG and △GEF,

∠AGD=∠EGF (Vertically opposite angles)

AD=EF (From I)

∠ADG=∠GFE (Alternate angles for parallel lines EF and AD)

△ADG≅△EGF (ASA )

Thus, AG=GE (Corresponding sides)

Also, DG=GF (Corresponding sides)

Thus, AE and DF bisect each other at G.

Answer 2

Answer:

GP vip

Step-by-step explanation:

dp do do do do hh GP do up