Question

I Need a The Answer Plz!!! Geometry Is Hard

Answer 1

Answer:

36

Step-by-step explanation:

Triangle FED and Triangle AEC are similar.

That means, the ratio of corresponding sides are equal. Thus we can say:

$\frac{ED}{DF}=\frac{EC}{CA}$

Also, since EC is 39 and D is the midpoint, ED and DC are half of that. Hence ED = 39/2 = 19.5

Now we can use the ratio to solve for AC:

$\frac{19.5}{18}=\frac{39}{CA}\\19.5CA=18*39\\19.5CA=702\\CA=\frac{702}{19.5}CA=36$

Hence, AC = 36