document.write( "Question 891511: A piece of wire 12 ft long is bent to the shape of a right angled triangle.If one side of the triangle is 3ft .What is the length of the longest side? \n" ); document.write( "

Algebra.Com's Answer #539828 by Fombitz(32388) $\"\"$ $\"About$

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B - other side
\n" ); document.write( "C - hypotenuse
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\n" ); document.write( "Use the Pythagorean theorem,
\n" ); document.write( " $\"3%5E2%2BB%5E2=C%5E2\"$
\n" ); document.write( " $\"9%2BB%5E2=C%5E2\"$
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\n" ); document.write( "Perimeter,
\n" ); document.write( " $\"3%2BB%2BC=12\"$
\n" ); document.write( " $\"B%2BC=9\"$
\n" ); document.write( " $\"B=9-C\"$
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\n" ); document.write( "Substitute,
\n" ); document.write( " $\"9%2B%289-C%29%5E2=C%5E2\"$
\n" ); document.write( " $\"9%2B81-18C%2BC%5E2=C%5E2\"$
\n" ); document.write( " $\"18C=90\"$
\n" ); document.write( " $\"C=5\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"B=9-5\"$
\n" ); document.write( " $\"B=4\"$
\n" ); document.write( "The longest side is $\"5\"$ \n" ); document.write( "

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