document.write( "Question 1193603: △HJK ~ △FGK.
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Algebra.Com's Answer #825646 by ikleyn(52797)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Triangles  HJK  and  FGK  are similar.  It is GIVEN (!)\r\n" );
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document.write( "The sides HK and KF of these triangles are corresponding sides.\r\n" );
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document.write( "Their ratio is  6:8,  or (which is the same as)  3:4.\r\n" );
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document.write( "The sides  FG  and  HJ  of these triangles are corresponding sides, too.\r\n" );
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document.write( "Hence, their ratio is  \"abs%28HJ%29%2Fabs%28FG%29\" = \"3%2F4\",  or\r\n" );
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document.write( "    \"abs%28HJ%29%2F9\" = \"3%2F4\".\r\n" );
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document.write( "From the proportion,  HJ = \"%289%2A3%29%2F4\" = \"27%2F4\" = 6\"3%2F4\" = 6.75.    ANSWER\r\n" );
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