Üçgenlerde Benzerlik ve Çevre İlişkisi

14.

$$\widehat{ABC} \sim \widehat{FED}$$

$[AH] \perp [BC], [FK] \perp [DE]$

$2|AH| = 3|FK|$

$ABC$ üçgeninin çevresi $24 \text{ cm}$ olduğuna göre, $Ç(FED)$ kaç $\text{cm}$'dir?

A) $24$

B) $22$

C) $20$

D) $18$

E) $16$

Soruda görsel içerik var: The image shows two blue-lined triangles on a white background. The first triangle is labeled $ABC$ with base $BC$. A height segment $AH$ is drawn from vertex $A$ perpendicular to side $BC$ at point $H$. The second, smaller triangle is labeled $FED$ with base $FE$. A height segment $FK$ is drawn from vertex $F$ perpendicular to side $DE$ at point $K$. Symbols inside the triangles indicate right angles at $H$ and $K$. There are handwritten notations around the triangles (e.g., numbers like 18, 12 and the ratio 3/2).