Answer:
AC = 52.8
Step-by-step explanation:
Since BE is parallel to CD and intersects the 2 sides of the triangle then it divides those sides proportionally, that is
[tex]\frac{BC}{AB}[/tex] = [tex]\frac{DE}{AE}[/tex], substituting values
[tex]\frac{33}{AB }[/tex] = [tex]\frac{20}{12}[/tex] ( cross- multiply )
20AB = 396 ( divide both sides by 20 )
AB = 19.8
Thus
AC = AB + BC = 19.8 + 33 = 52.8
