Question

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

4

6

6 2/3

15

Answer 1

CS = 4

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;

`(AB)/(RS)=(AC)/(RC)=(BC)/(SC)`

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

But;
`(AC)/(RC)=(BC)/(SC)`

AC=CR + RA

= 5

Assuming CS is y, then

`(5)/(2)=(10)/(y)`

`y=(10(2))/(5) \\ = 4`

Therefore, CS is 4