document.write( "Question 865116: one leg of of a right triangle is 2 meters longer than the other leg. The hypotenuse is 2 meters less than twice the length of the shorter leg. Find the length of the shorter leg. \n" ); document.write( "
Algebra.Com's Answer #521555 by dkppathak(439)\"\" \"About 
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one leg of of a right triangle is 2 meters longer than the other leg. The hypotenuse is 2 meters less than twice the length of the shorter leg. Find the length of the shorter leg.
\n" ); document.write( "Answer
\n" ); document.write( "let smaller leg is x meter\r
\n" ); document.write( "\n" ); document.write( "length of other leg will be X+2 ( as per given conditions)
\n" ); document.write( "length of hypotenuse will be 2x-2(as per given conditions )
\n" ); document.write( "by Pythagoras theorem of right anle triangle
\n" ); document.write( "we know
\n" ); document.write( " H^2=smaller leg^2+other Leg^2
\n" ); document.write( "(2x-2)^2= X^2+ (X+2)^2
\n" ); document.write( "4x^2+4-8x =x^2+x^2+4+4x
\n" ); document.write( "4x^2+4-8x =2x^2+4+4x
\n" ); document.write( "4x^2+4-8x - 2x^2 -4-4x = 0
\n" ); document.write( "2x^2-12x=0
\n" ); document.write( "2x(x-6)=0
\n" ); document.write( "therefor
\n" ); document.write( "2x=0 or x-6=0
\n" ); document.write( "x=0 or x=6
\n" ); document.write( "neglecting x=0
\n" ); document.write( "therefore x=6 meter
\n" ); document.write( "hypotenuse will be 2x-2=2x6-2=10 meter
\n" ); document.write( "other leg will be x+2 = 8 meter
\n" ); document.write( "Answer
\n" ); document.write( "smaller leg =6 meters
\n" ); document.write( "other leg =8 meters
\n" ); document.write( "hypotenuse =10 meters \r
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