document.write( "Question 322749: The hypotenuse of a right triangle has a length of 13 cm. the sum of the lengths of the other two sides is 17. Find the unknown lengths. \n" ); document.write( "

Algebra.Com's Answer #231040 by Fombitz(32388) $\"\"$ $\"About$

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$\"A%5E2%2BB%5E2=13%5E2\"$
\n" ); document.write( " $\"A%2BB=17\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"B=17-A\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"A%5E2%2B%2817-A%29%5E2=169\"$
\n" ); document.write( " $\"A%5E2%2B289-34A%2BA%5E2=169\"$
\n" ); document.write( " $\"2A%5E2-34A%2B120=0\"$
\n" ); document.write( " $\"A%5E2-17A%2B60=0\"$
\n" ); document.write( " $\"%28A-12%29%28A-5%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"A=12\"$
\n" ); document.write( "Then from eq. 2,
\n" ); document.write( " $\"12%2BB=17\"$
\n" ); document.write( " $\"B=5\"$
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\n" ); document.write( " $\"A-5=0\"$
\n" ); document.write( " $\"A=5\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"5%2BB=17\"$
\n" ); document.write( " $\"B=12\"$
\n" ); document.write( ".
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\n" ); document.write( "The other two sides are 5 and 12 cm long. \n" ); document.write( "

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