Please help me with this question
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Answered by
1
Answer:
EASY BRO!!!
Step-by-step explanation:
Look at triangle CBE
here use the theorem that, when a line parallel to one side of the triangle joins the other two sides at their midpoints.
You know that D is midpoint of BC right? because AD is median
so DF joins EC at F which is midpoint of EC
now AC/2 = EC
and EC/2 = FC
EC = 2FC
AC/2 = 2FC
or
AC/4 = FC
easy eh?
good day to you
Answered by
2
Step-by-step explanation:
Given,
AD and BE are medians of ΔABC.
Hence, in ∆ABC, we have:
AC = AE + EC
But,
AE = EC [∵ E is midpoint of AC]
∴ AC = 2EC ------- (1)
Now in ∆BEC,
DF || BE
Also,
EF = CF [∵ as D is the midpoint of BC]
But,
EC = EF + CF
∴ EC = 2 CF ------- (2)
From (1) and (2), we get
=> AC = 4 CF
CF = (1/4) AC
Hope it helps!
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