Question

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

Answer 1

36

Explanation:

Triangle FED and Triangle AEC are similar.

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

`(ED)/(DF)=(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:

`(19.5)/(18)=(39)/(CA)\\19.5CA=18*39\\19.5CA=702\\CA=(702)/(19.5)CA=36`

Hence, AC = 36