Question

What is the measure of AC?

Answer 1

AC = 52.8

Explanation:

Since BE is parallel to CD and intersects the 2 sides of the triangle then it divides those sides proportionally, that is

`(BC)/(AB)` =
`(DE)/(AE)`, substituting values

`(33)/(AB )` =
`(20)/(12)` ( cross- multiply )

20AB = 396 ( divide both sides by 20 )

AB = 19.8

Thus

AC = AB + BC = 19.8 + 33 = 52.8

Answer 2

AC = 52.8

Explanation:

33/20 = 1.65

12*1.65 = 19.8

BA = 19.8

CB + BA = AC

33 + 19.8 = 52.8