document.write( "Question 605808: A right triangle has a hypotenuse of length 2√13 cm. and a leg of length
\n" ); document.write( "3√5 cm. What is the length of the other leg? \n" ); document.write( "

Algebra.Com's Answer #381816 by nerdybill(7384) $\"\"$ $\"About$

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A right triangle has a hypotenuse of length 2√13 cm. and a leg of length
\n" ); document.write( "3√5 cm. What is the length of the other leg?
\n" ); document.write( ".
\n" ); document.write( "Apply Pythagorean Theorem:
\n" ); document.write( "Let x = length of other leg
\n" ); document.write( "then
\n" ); document.write( " $\"x%5E2+%2B+%283sqrt%285%29%29%5E2+=+%282sqrt%2813%29%29%5E2\"$
\n" ); document.write( " $\"x%5E2+%2B+%289%2A5%29+=+%284%2A13%29\"$
\n" ); document.write( " $\"x%5E2+%2B+45+=+52\"$
\n" ); document.write( " $\"x%5E2+=+7\"$
\n" ); document.write( " $\"x+=+sqrt%287%29\"$
\n" ); document.write( " \n" ); document.write( "

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