Üçgende Alan ve Oran

33. Aşağıdaki ABC üçgeni, ED boyunca kesildiğinde II nolu bölgenin alanı, I nolu bölgenin alanının $\frac{5}{3}$ katı olacak şekilde 2 parçaya ayrılıyor.

[Görsel]

$|AD| = |DC|$ olduğuna göre, $\frac{|AE|}{|EB|}$ kaçtır?

A) $\frac{3}{2}$

B) 3

C) $\frac{4}{3}$

D) 2

E) $\frac{5}{3}$

Soruda görsel içerik var: The image displays a geometry problem with a triangle ABC. On the left side, there is an ABC triangle cut along the segment ED, dividing it into two regions: region I (the top triangle ADE) and region II (the bottom quadrilateral EBCD). On the right side, the two separated regions are shown individually. There are scissors depicted near the line ED as an illustration of cutting. Text states that the area of region II is 5/3 times the area of region I. A condition is given that |AD| = |DC|, and the question asks for the ratio of |AE|/|EB|.