document.write( "Question 28725: The hypotense of a right triangle is 26 feet long. One leg of the triangle is 14 feet longer than the other leg. Find the lenghts of the legs of the triangle. \n" ); document.write( "

Algebra.Com's Answer #15674 by Paul(988) $\"\"$ $\"About$

You can put this solution on YOUR website!
In real right trianlge you would try to find the length by the pythorean theorem.
\n" ); document.write( " $\"c%5E2-a%5E2=b%5E2\"$ or $\"c%5E2-b%5E2=a%5E2\"$
\n" ); document.write( "Do the smae here. letting a= x+14 and b = x
\n" ); document.write( " $\"%2826%29%5E2-%28x%29%5E2=%28x%2B14%29%5E2\"$
\n" ); document.write( " $\"676-x%5E2=x%5E2%2B28x%2B196\"$
\n" ); document.write( " $\"2x%5E2%2B28x-480\"$
\n" ); document.write( " $\"x%5E2%2B14x-240\"$
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x=%28-14%2B-sqrt%28%2814%5E2%29-4%2A1%2A-240%29%29%2F%282%2A1%29\"$
\n" ); document.write( "Simplfy
\n" ); document.write( "you get two solutions.
\n" ); document.write( "x=-24 or x=10
\n" ); document.write( "10+14=24 (a side)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hence, the two sides are 10cm and 24 cm.
\n" ); document.write( "Paul.
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