document.write( "Question 1033540: TRIANGLE ABC and TRIANGLE XYZ are similar triangles. If BA = x + 7, AC = x + 4, YX = x + 2, and XZ = x + 3, find the value of x. \n" ); document.write( "

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\n" ); document.write( "TRIANGLE ABC and TRIANGLE XYZ are similar triangles. If BA = x + 7, AC = x + 4, YX = x + 2, and XZ = x + 3, find the value of x.
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document.write( "Since triangles ABC and XYZ are similar, their corresponding sides (side dimensions) are proportional.\r\n" );
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document.write( "In particular,  \r\n" );
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document.write( " = ,  or  = .    (1)\r\n" );
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document.write( "To find \"x\", cross-multiply. You will get\r\n" );
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document.write( "(x+7)*(x+3) = (x+2)*(x+4).\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( " = ,   or\r\n" );
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document.write( "4x = 3,\r\n" );
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document.write( "x = .\r\n" );
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