A club has 36 boys and 24 girls as members. The president of the club wants to break the club into groups, with each group containing the same combination of boys and girls. The president also wants to make sure no one is left out. What is the greatest amount of groups the president can make?

answer: finding the extract measurements and knowing the points

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.