The figure shows three right triangles. triangles abd, cad, and cba are similar. theorem: if two triangles are similar, the corresponding sides are in proportion. figure shows triangle abc 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. using the given theorem, which two statements to prove that if segment bc is x, then x2 = 74? segment bc • segment dc = 49 segment bc • segment bd = 35 segment bc • segment dc = 49 segment bc x•segment bd = 25 segment bc • segment dc = 25 segment bc • segment bd = 35 segment bc • segment dc = 25 segment bc • segment bd = 49

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.

step-by-step explanation:

step-by-step explanation: