Mark and his 3 friends agreed to join the School’s talent show. They then decided how to pick the song that they will sing for the show. They decide to roll a number cube. The person with the lowest number chooses the song. If Mark’s friends rolled a 6, 5 and 2. What is the probability that Mark will get to choose the song? Show your work

step-by-step explanation:

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.