document.write( "Question 690846: In a right triangle, the ratio of the legs is one to two. If the area of the triangle is twenty-five square centimeters, what is the length of the longest leg?
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Algebra.Com's Answer #426399 by josmiceli(19441) $\"\"$ $\"About$

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The area of the right triangle is
\n" ); document.write( " $\"+A+=+%281%2F2%29%2Ab%2Ah+\"$
\n" ); document.write( "where $\"+b+\"$ is the base and $\"+h+\"$
\n" ); document.write( "is the height
\n" ); document.write( "given: $\"+h+=+2b+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+A+=+%281%2F2%29%2Ab%2A2b+\"$
\n" ); document.write( " $\"+A+=+b%5E2+\"$
\n" ); document.write( "given: $\"+A+=+25+\"$ cm2
\n" ); document.write( " $\"+25+=+b%5E2+\"$
\n" ); document.write( " $\"+b+=+5+\"$
\n" ); document.write( "The longest leg is $\"+2b+\"$ , so
\n" ); document.write( " $\"+2b+=+10+\"$
\n" ); document.write( "The longest leg is 10 cm
\n" ); document.write( "check:
\n" ); document.write( " $\"+A+=+%281%2F2%29%2Ab%2Ah+\"$
\n" ); document.write( " $\"+A+=+%281%2F2%29%2A5%2A10+\"$
\n" ); document.write( " $\"+A+=+50%2F2+\"$
\n" ); document.write( " $\"+A+=+25+\"$
\n" ); document.write( "OK \n" ); document.write( "

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