document.write( "Question 189631: The hypotenuse of a right triangle measures 10 feet. The shorter leg measures 10 feet less than twice the length of the longer leg. How long is the shorter leg? \n" ); document.write( "
Algebra.Com's Answer #142351 by jonvaliente(64)![]() ![]() You can put this solution on YOUR website! Let x=length of the longer leg \n" ); document.write( "hypotenuse=10 feet \n" ); document.write( "shorter leg = 2x-10\r \n" ); document.write( "\n" ); document.write( "Pythagorean theorem:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtracting 100 from both sides, we get:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dividing both sides by 5x we get:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Adding 8 on both sides we get:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Shorter Leg = 2x-10 = 2*8-10=6 feet\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |