the correct option is 2.
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,
triangle cad and cba are similar,
using (1), (2) and (3), we get
therefore option 2 is correct.
me! what did you put for this question?