document.write( "Question 1107740: find x simplify completely \r
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document.write( "                               / 90\\r\n" );
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document.write( "                             /   |x  \\r\n" );
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document.write( "                           /   90|90   \\r\n" );
document.write( "                          /______|______\\r\n" );
document.write( "                            16      25
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Algebra.Com's Answer #722770 by ikleyn(52932)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "                               / 90\\r\n" );
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document.write( "                           a /   |x  \ b\r\n" );
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document.write( "                           /   90|90   \\r\n" );
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document.write( "                            16      25     \r\n" );
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\n" ); document.write( "\n" ); document.write( "I denoted \"a\" and \"b\" the legs of the largest right-angled triangle.\r
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document.write( "Then you have, by applying the Pythagoras to three different participating right-angled triangles, these three equations\r\n" );
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document.write( "\"a%5E2\" = \"x%5E2+%2B+16%5E2\",           (1)\r\n" );
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document.write( "\"b%5E2\" = \"x%5E2+%2B+25%5E2\",           (2)\r\n" );
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document.write( "\"a%5E2+%2B+b%5E2\" = \"%2816%2B25%29%5E2\".       (3)\r\n" );
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document.write( "By adding equations (1) and (2)  and comparing their sum with equation (3), you get this\r\n" );
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document.write( "\"2x%5E2++%2B+16%5E2+%2B+25%5E2\" = \"%2816%2B+25%29%5E2\"  ====>\r\n" );
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document.write( "\"2x%5E2\" = \"%2816+%2B+25%29%5E2+-+16%5E2+-+25%5E2\" = 2*16*25  ====>\r\n" );
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document.write( "\"x%5E2\" = 16*25  ====>  x = \"sqrt%2816%2A25%29\" = 4*5 = 20.\r\n" );
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document.write( "Answer.  x = 20.\r\n" );
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