Points B, D, and F are midpoints of the sides of Triangle ACE . EC = 44 and DF = 15. Find AC.

Find AC. (NOT DRAWN TO SCALE)

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By definition, EF/EA=ED/EC=1/2. In triangles EAC and EFD there is a common included angle E.  Also EF/ED=EA/EC, because EF/EA=ED/EC. Therefore the two triangles are similar (two sides and included angle) and ED/DF=EC/AC. ED=1/2EC=22. So 22/15=44/AC, therefore AC=30.

by Top Rated User (1.1m points)
the answer is 30
by
A C=30
by

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