document.write( "Question 681872: A piece of land with an area of 2400 sq.m is in the shape of a right triangle with the hypotenuse 100m long. Find the two legs. \n" ); document.write( "
Algebra.Com's Answer #422853 by Alan3354(69443)\"\" \"About 
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A piece of land with an area of 2400 sq.m is in the shape of a right triangle with the hypotenuse 100m long. Find the two legs.
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\n" ); document.write( "a*b/2 = 2400 --> a = 4800/b
\n" ); document.write( "\"a%5E2+%2B+b%5E2+=+100%5E2\"
\n" ); document.write( "Sub for a
\n" ); document.write( "\"%284800%2Fb%29%5E2+%2B+b%5E2+=+100%5E2\"
\n" ); document.write( "\"23040000+%2B+b%5E4+=+10000b%5E2\"
\n" ); document.write( "\"b%5E4+-+10000b%5E2+%2B+23040000+=+0\"
\n" ); document.write( "sub x for b^2
\n" ); document.write( "\"x%5E2+-+10000x+%2B+23040000+=+0\"
\n" ); document.write( "(x - 3600)*(x - 6400) = 0
\n" ); document.write( "x = 3600, 6400
\n" ); document.write( "--> b = 60, 80
\n" ); document.write( "Legs are 60 & 80 meters
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