Question

Points B, D, and F are midpoints of the sides of Angle ACE. EC = 39 and DF = 16. Find AC. The diagram is not to scale.
A. 39
B. 32
c. 8
D. 78

Answer 1

Since F and D are midpoints of their respective segments,
  AC = 2*FD = 2*16
  AC = 32

Selection B is appropriate.

Answer 2

Answer:

B. 32

Step-by-step explanation:

We have been given that B, D, and F are midpoints of the sides of Angle ACE.

To solve for the length of side AC, we will use mid-segment theorem, which states that the segment connecting mid points of two sides of a triangle is parallel to third side of triangle and half the measure of third side.

We can see that side DF is parallel to side AC, so measure of side AC will be 2 times the measure of DF.

$AC=2\times DF$

$AC=2\times 16$

$AC=32$

Therefore, the measure of side AC is 32 units and option B is the correct choice.