Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). the x-intercept of the line x = 3.5 is . the y-intercept of the line y = -6.5 is . enter your answer as an ordered pair such as (1, 1) or (-2, 2).

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.