document.write( "Question 1043445: Use the Pythagorean Theorem to find the lengths of the sides of the triangle.
\n" ); document.write( "a=x+3
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Algebra.Com's Answer #658578 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Use the Pythagorean Theorem to find the lengths of the sides of the triangle.
\n" ); document.write( "a=x+3
\n" ); document.write( "b=x
\n" ); document.write( "c=15
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document.write( "\"a%5E2+%2B+b%5E2\" = \"c%5E2\"  --->  \"%28x%2B3%29%5E2+%2B+x%5E2\" = \"15%5E2\"  --->\r\n" );
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document.write( "\"2x%5E2+%2B+6x+%2B+9\" = \"225\"  --->  \"2x%5E2+%2B+6x+-+216\" = \"0\"  --->\r\n" );
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document.write( "\"x%5E2+%2B+3x+-+108\" = \"0\"\r\n" );
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document.write( "Solve this quadratic equation. The roots are  x = 9  and/or  x = -12.\r\n" );
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document.write( "Reject the negative root. Hence, only x = 9 is the solution.\r\n" );
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document.write( "The legs are 9 and 12.\r\n" );
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document.write( "It is (3-4-5) Pythagorean triangle 9, 12, 15.\r\n" );
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