In triangle ABC, AF and CE meetin D. If AE=EB, BF=FC, then AD x CD/DF x DE equals
a. 1
b. 2
c. 4
d. 6
e. 8
please answer and explain
5 answers
Is DEF also a triangle?
yes
sorry , actuly no
Okay, do you know anything about D, E or F? Or, do we just assume they are points that could be anywhere on the plane?
Since E and F are the midpoints of their sides, we are talking about medians of a triangle.
The medians meet 2/3 of the way from the vertex to the side.
So,
AD/DF = 2
CD/DE = 2
AD x CD/DF x DE = AD/DF * CD/DE = 4
The medians meet 2/3 of the way from the vertex to the side.
So,
AD/DF = 2
CD/DE = 2
AD x CD/DF x DE = AD/DF * CD/DE = 4