Answer:
CS = 4
Step-by-step explanation:
From the figure below;
Triangle ABC is similar to triangle RSC
Therefore, the ratio of the corresponding sides in the two triangles is equal;
That is;
[tex]\frac{AB}{RS}=\frac{AC}{RC}=\frac{BC}{SC}[/tex]
In this case, CR = 2 , RA = 3 and BC = 10 we are required to determine CS
But; [tex]\frac{AC}{RC}=\frac{BC}{SC}[/tex]
AC=CR + RA
= 5
Assuming CS is y, then
[tex]\frac{5}{2}=\frac{10}{y}[/tex]
[tex]y=\frac{10(2)}{5} \\ = 4[/tex]
Therefore, CS is 4
