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

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Question 1193603: △HJK ~ △FGK.
If HK = 6, KF = 8, and FG = 9, find HJ.
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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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%28HJ%29%2Fabs%28FG%29 = 3%2F4,  or


    abs%28HJ%29%2F9 = 3%2F4.


From the proportion,  HJ = %289%2A3%29%2F4 = 27%2F4 = 63%2F4 = 6.75.    ANSWER

Solved.


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