SOLUTION: △HJK ~ △FGK. If HK = 6, KF = 8, and FG = 9, find HJ.

Question 1193603: △HJK ~ △FGK.
If HK = 6, KF = 8, and FG = 9, find HJ.

Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.

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   = ,  or


     = .


From the proportion,  HJ =  =  = 6 = 6.75.    ANSWER

Solved.

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