Respuesta :

The answer is 4 because the ratio of AC (5) and BC (10) is 1:2. Multiply CR by two and CS = 4.
calculista

Answer:

[tex]CS=4\ units[/tex]

Step-by-step explanation:

we know that

Triangles ABC and RSC are similar

then

The ratio of their corresponding sides is equal

[tex]\frac{BC}{CS}=\frac{AC}{CR}[/tex]

we have

[tex]BC=10\ units[/tex]

[tex]AC=RA+CR=3+2=5\ units[/tex]

[tex]CR=2\ units[/tex]

substitute and solve for CS

[tex]\frac{10}{CS}=\frac{5}{2}\\ \\ CS=2*10/5\\ \\CS=4\ units[/tex]