Astudent needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. the function f(r) relates the area of the cardboard piece, in square inches, to the radius r in inches. which of the following shows a reasonable domain for f(r)? 7 < r < 14 154 < r < 616 all positive integers less than 7 all positive integers between 14 and 154

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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.