The image shows two posts on a suspension bridge, where the hypotenuse of the sketched triangle is the suspension cable. What is the horizontal distance, in centimeters, from the smaller post to the larger post?

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.

i dont know

step-by-step explanation:

umm. i dont know

answer is b

step-by-step explanation:

its d hope this