What is the diagonal length of the suitcase

30

Step-by-step explanation:

if you think about a rectangle cut by its diagonal then yoou can see that its just 2 right triangles and youre looking for the long end

Using pythagorean theorem you put in the numbers

solving gives you

30 = c

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.