document.write( "Question 108582: The hypotenuse of right triangle is 2.8 units long leg is 1.7 units longer than the shorter leg. Find the length of the sides of the triangle. \n" ); document.write( "

Algebra.Com's Answer #79209 by Fombitz(32388) $\"\"$ $\"About$

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S - Short Leg
\n" ); document.write( "L - Long Leg
\n" ); document.write( "H - Hypotenuse
\n" ); document.write( " $\"S%5E2%2BL%5E2=H%5E2\"$
\n" ); document.write( " $\"H=2.8\"$
\n" ); document.write( " $\"L=1.7%2BS\"$
\n" ); document.write( " $\"S%5E2%2BL%5E2=H%5E2\"$
\n" ); document.write( " $\"S%5E2%2B%281.7%2BS%29%5E2=%282.8%29%5E2\"$
\n" ); document.write( " $\"S%5E2%2B%282.89%2B3.4S%2BS%5E2%29=7.84\"$
\n" ); document.write( " $\"2S%5E2%2B3.4S-4.95=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"S+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"S+=+%28-3.4+%2B-+sqrt%283.4%5E2-4%2A%282%29%2A%28-4.95%29+%29%29%2F%282%2A2%29+\"$
\n" ); document.write( " $\"S+=+%28-3.4+%2B-+sqrt%2811.56%2B39.6%29%29%2F%284%29+\"$
\n" ); document.write( " $\"S+=+%28-3.4+%2B-+sqrt%2851.16%29%29%2F%284%29+\"$
\n" ); document.write( " $\"S+=+%28-3.4+%2B-+7.153%29%2F%284%29+\"$
\n" ); document.write( "Only the positive root make sense in this case.
\n" ); document.write( " $\"S+=+%28-3.4+%2B+7.153%29%2F%284%29+\"$
\n" ); document.write( " $\"highlight%28S+=+0.94%29\"$
\n" ); document.write( " $\"L=1.7%2BS\"$
\n" ); document.write( " $\"L=1.7%2B.94\"$
\n" ); document.write( " $\"highlight%28L=2.64%29\"$
\n" ); document.write( "Verify your answer.
\n" ); document.write( " $\"S%5E2%2BL%5E2=H%5E2\"$
\n" ); document.write( " $\"0.94%5E2%2B2.64%5E2=2.8%5E2\"$
\n" ); document.write( " $\"0.88%2B6.97=7.84\"$
\n" ); document.write( " $\"7.85=7.84\"$ Close enough from roundoff error.
\n" ); document.write( "Good answer.
\n" ); document.write( "S=0.94 units
\n" ); document.write( "L=2.64 units \n" ); document.write( "

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