In triangle ABC, E is the mid point of the median AD, the extended BE intersects AC at
point F. If AC=10.5cm,then find the length of AF.
Answers
Answered by
10
Answer:
3.5cm
Step-by-step explanation:
So,
AF=1/3 of AC
AF=1/3×10.5
AF=3.5 cm
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Answered by
1
Step-by-step explanation:
given:
in triangle abc ,is the midpoint of the median ad and extended be intersect the side AC at the point E
required to find
the length of EF
construction
through the point d a line parallel to BF is drawn which intersect the side AC at the point
proof
in triangle BFV ,D is the midpoint of BC hence (ad is median)
DG is parallel to EF (according to the construction)
g is the midpoint of FC,
if FG is equal to GC ....(i)
in triangle abc ,e is the midpoint of side ad..(given)
F is the midpoint of AG
AF equal to FG equal to AC
so,AF =FG
AF =1\3AC
EF =1\3*10.5
EF =3.5 cm
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