Natural variations:
a. lead to occasional false findings that processes are out of control.
b. are the same as assignable variations.
c. are variations that are to be identified and investigated.
d. are variations that can be traced to a specific cause.
e. play no role in statistical process control.

where are the choices?

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.