Question

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

Answer 1

AC = 34

Step-by-step 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