Question 1193603
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<pre>
Triangles  HJK  and  FGK  are similar.  It is GIVEN (!)


The sides HK and KF of these triangles are corresponding sides.


Their ratio is  6:8,  or (which is the same as)  3:4.


The sides  FG  and  HJ  of these triangles are corresponding sides, too.


Hence, their ratio is  {{{abs(HJ)/abs(FG)}}} = {{{3/4}}},  or


    {{{abs(HJ)/9}}} = {{{3/4}}}.


From the proportion,  HJ = {{{(9*3)/4}}} = {{{27/4}}} = 6{{{3/4}}} = 6.75.    <U>ANSWER</U>
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Solved.



<H3>Also, did your mother or other relatives teach you to thank those who help you ?</H3>