document.write( "Question 1148506: In the diagram, BE= 45cm and AC=DC. Find the length of BC, in cm. \r
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Algebra.Com's Answer #769962 by ikleyn(52777) $\"\"$ $\"About$

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document.write( "Let x be the length of BC.  Then the length of CE is (45-x).\r\n" );
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document.write( "From the condition, you have this equation\r\n" );
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document.write( "   18^2 + x^2 = (45-x)^2 + 20^2,\r\n" );
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document.write( "saying that the two hypotenuses have equal lengths.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    18^2 + x^2 = 45^2 - 90x + x^2 + 20^2\r\n" );
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document.write( "    90x        = 45^2 + 20^2 - 18^2\r\n" );
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document.write( "    90x        = 2101\r\n" );
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document.write( "      x        =  = 23.344...   centimeters.     ANSWER\r\n" );
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