document.write( "Question 76799: Will someone show me the steps to solve this problems so that I will be able to work othere like this or similar to it.\r
\n" ); document.write( "\n" ); document.write( "The shorter leg of a right triangle is 11 meters. The hypotenuse is 1 meter longer than the longer leg. Find the length of the longer leg.
\n" ); document.write( "Thank you,
\n" ); document.write( "Sabrina
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Algebra.Com's Answer #55067 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Since the problem is about a right triangle, think about using the Pythagorean theorem: \"c%5E2+=+a%5E2+%2B+b%5E2\" Where: c is the length of the hypotenuse and a & b are the lengths of the two legs.
\n" ); document.write( "In this problem, you are given the length of one of the legs (11 m.) and you are told that the length of the hypotenuse is 1 meter longer than the other (longer) leg.
\n" ); document.write( "So, we'll let x meters be the length of the longer leg.
\n" ); document.write( "Then the length of the hypotenuse will be x+1 meters.
\n" ); document.write( "Now let's apply the Pythagorean theorem.
\n" ); document.write( "\"%28x%2B1%29%5E2+=+11%5E2+%2B+x%5E2\" Simplify this.
\n" ); document.write( "\"x%5E2%2B2x%2B1+=+121+%2B+x%5E2\" Subtract \"x%5E2\" from both sides of the equation.
\n" ); document.write( "\"2x%2B1+=+121\" Now subtract 1 from both sides.
\n" ); document.write( "\"2x+=+120\" Finally, divide both sides by 2.
\n" ); document.write( "\"x+=+60\"
\n" ); document.write( "The length of the longer leg is 60 meters.
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