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Points B, D, and F are midpoints of the sides of ΔACE. If EC⎯⎯⎯⎯⎯= 30 and DF⎯⎯⎯⎯⎯ = 17, find AC⎯⎯⎯⎯⎯ 34 60 8.5 30

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imlittlestar

Answer

AC = 34

Explanation

It is given that,ΔACE,

B is the mid point of AC

D is the mid point of CE

and F is the mid point of AE

If D and F are the midpoints, The line joining D and F parallel to third side AC.

The two triangles ΔACE and ΔFDE are similar and their sides are in the ratio 1/2

Here FD = 17  therefore AC = 34

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