Question

If CR = 2, RA = 3 , and BC = 10, find CS.466 2/315

Answer 1

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;

$\frac{AB}{RS}=\frac{AC}{RC}=\frac{BC}{SC}$

In this case, CR = 2 , RA = 3 and BC = 10 we are required to determine CS

But; $\frac{AC}{RC}=\frac{BC}{SC}$

AC=CR + RA

    = 5

Assuming CS is y, then

$\frac{5}{2}=\frac{10}{y}$

$y=\frac{10(2)}{5} \\ = 4$

Therefore, CS is 4