document.write( "Question 398271: The longer leg of a right triangle is 1M longer then the shorter leg. The hypotenuse is 1 M shorter than twice the shorter leg. Find the length of the shorter leg of the triangle. \n" ); document.write( "

Algebra.Com's Answer #282243 by robertb(5830) $\"\"$ $\"About$

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longer leg = s +1
\n" ); document.write( "hypotenuse = 2s -1
\n" ); document.write( "Hence $\"%282s+-+1%29%5E2+=+s%5E2+%2B+%28s%2B1%29%5E2\"$
\n" ); document.write( "==> $\"4s%5E2+-+4s+%2B+1+=+s%5E2+%2B+s%5E2+%2B+2s+%2B+1\"$
\n" ); document.write( "==> $\"2s%5E2+-+6s++=0\"$
\n" ); document.write( "==> 2s(s - 3) = 0 ==> s = 0, 3 ==> s = 3 meters, the measure of the shorter leg, s + 1 = 4 meters, the measure of the longer leg, and 2s -1 = 5 meters, the measure of the hypotenuse.\r
\n" ); document.write( "\n" ); document.write( "Rodney’s scores on his first three business calculus tests were an 80, 63, and an 84. What grade on his fourth test will give him an average of 80?
\n" ); document.write( " $\"%2880+%2B+63+%2B+84+%2B+x%29%2F4+=+80\"$ ==> 227 + x = 320 ==> x = 93. \n" ); document.write( "

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