Question

find tr
s
e f
11
t r
a. 5.5
b. 11
c. 22
d. 33

Explanation:

Step1: Identify similar - triangles property

Since the segments with the same number of red - marks are equal, we can conclude that $\triangle SEF\sim\triangle STR$ by the Side - Angle - Side (SAS) similarity criterion (the angles at $S$ are common and the ratios of the corresponding sides are equal).

Step2: Determine the ratio of similarity

The ratio of the sides of $\triangle SEF$ to $\triangle STR$ is $1:2$ because of the equal - length segments.

Step3: Calculate the length of TR

If the length of $EF = 11$, and $\frac{EF}{TR}=\frac{1}{2}$ (from the similarity of the triangles), then $TR = 2\times EF$.
$TR=2\times11 = 22$

Answer:

C. 22