Given: if cr = 2, ra = 3, and bc = 10, find cs.

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CS = 4 units

Explanation:

We are given that:

AB is parallel to RS

Therefore, we can set up a proportionality as follows:

We have:

CR = 2 units

CA = CR + RA = 2 + 3 = 5 units

CB = 10 units

Substitute to get CS as follows:

2*10 = 5*CS

20 = 5CS

CS = 4 units

Hope this helps :)

more detail

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.