Points b, d, and f are midpoints of the sides of triangle ace. ec = 38 and df = 16. find ac. the diagram is not to scale.

for my answer i put 32 because df is parallel to ce and e is the midpoint of ca so i multiplied 16 by 2 to get 32

is this correct? you : )

Points D and F are the midpoints of sides EC and AE respectively therefore, DF is parallel to AC and hence, AC is twice of DF. So the value of side AC is equal to 32.

Given :

It is given that F is the midpoint of AE and D is the midpoint of EC and therefore, DF is parallel to AC.

If DF is parallel to AC than AC is twice of DF and it is given that DF = 16. Therefore, AC = 32.

Therefore, it can be conclude that if points B, D, and F are the midpoints of the sides of triangle ACE than DF is parallel to AC and AC = .

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