Question

In a scalene triangle ABC, AD and BE are
medians. F is a point in AC so that DF//BE.
Show that : AC = 4 x EF.
Give the diagram. Do not answer without diagram!!!​

Answer 1

Answer:

E is the midpoint of AC

therefore

EC = 1/2 AC

D is the midpoint of BC

And BE || DF

therefore

F is the midpoint of EC

[converse midpoint theorem]

CF = 1/2 x EC

= 1/2 x (1/2 x AC )

=1/4 x AC

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Answer 2

Answer:

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