document.write( "Question 598387: If 27 and 45 are two lengths of a right triangle, what is the third length of the right triangle? \n" ); document.write( "

Algebra.Com's Answer #378556 by Edwin McCravy(20055) $\"\"$ $\"About$

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If 27 and 45 are two lengths of a right triangle, what is the third length of the right triangle?
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document.write( "There are two possible answers because you didn't say which one was \r\n" );
document.write( "the hypotenuse:\r\n" );
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document.write( "Case 1:  27 and 45 are both legs and the third side is the hypotenuse:\r\n" );
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document.write( "        c² = a² + b²\r\n" );
document.write( "        c² = 27² + 45²\r\n" );
document.write( "        c² = 729 + 2025\r\n" );
document.write( "        c² = 2754\r\n" );
document.write( "         c = 52.47856705 (taking the square root)\r\n" );
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document.write( "Case 2: 45 is the hypotenuse, 27 is one of the legs, and the third \r\n" );
document.write( "side is the other leg:\r\n" );
document.write( "        c² = a² + b²\r\n" );
document.write( "       45² = 27² + b²\r\n" );
document.write( "      2025 = 729 + b²\r\n" );
document.write( "2025 - 729 = b²\r\n" );
document.write( "      1296 = b²\r\n" );
document.write( "        36 = b  (taking the square root)\r\n" );
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document.write( "Edwin

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