Bailey studies 3 days for her final exam in history. the first day she studied 1 1/2 hours. on day 2 she studied 1/2 as long as she did on day 1 and on day 3 she studied 2 1/2 times as long as she did on day 1. how many hours did she study over the three day period? '

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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.