document.write( "Question 167456: TEWNTY NINE IS THE SHORTEST LEG OF A RIGHT ANGLED TRIANGLE THE HYPOTENUS AND OTHER LEG ARE TWO CONSECUTIVE WHOLE NUMBERS. WHAT ARE THE LENGHTS OF THE LEG AND HYPOTENUS \n" ); document.write( "
Algebra.Com's Answer #123357 by checkley77(12844)\"\" \"About 
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29^2+x^2=(x+1)^2
\n" ); document.write( "841+x^2=x^2+2x+1
\n" ); document.write( "2x+1-841=0
\n" ); document.write( "2x=841-1
\n" ); document.write( "2x=840
\n" ); document.write( "x=840/2
\n" ); document.write( "x=420 for the other side.
\n" ); document.write( "420+1=421 is the length of the hypotenuse.
\n" ); document.write( "Proof:
\n" ); document.write( "29^2+420^2=421^2
\n" ); document.write( "841+176,400=177,241
\n" ); document.write( "177,241=177,241
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