In Fig. 11, D, E, and F are midpoints of AB, AC, and BC, respectively,
and AB = AC. Prove that ADFB = AEFC.
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Answered by
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Step-by-step explanation:
AB=AC AND D,E,F ARE MIDPOINT OF AB, AC, BC
so that AD=BD=AE=EC,-–——eq1
BF=CF—-——eq2
,DF=EF—------eq3
ADFB=AD+DF+FB,-————eq4
AEFC= AE+EF+FC—————eq5
FOR, ADFB
= AD+DF+FB———————we put eq1,eq2,eq3 in it
= AE+EF+FC---------- now from eq5
=AEFC
: ADFB=AEFC
so that
lhs=rhs
hence it is proved that ADFB=AEFC
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Answer:
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