document.write( "Question 813209: hypotenuse of a right triangle is 8 ft less than three times the shorter leg, longer leg is 8 feet more than twice the shorter leg, find length of all three sides of triangle ? \n" ); document.write( "
Algebra.Com's Answer #489528 by mananth(16946)\"\" \"About 
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hypotenuse of a right triangle is 8 ft less than three times the shorter leg, longer leg is 8 feet more than twice the shorter leg, find length of all three sides of triangle ?\r
\n" ); document.write( "\n" ); document.write( "shorter leg ----x\r
\n" ); document.write( "\n" ); document.write( "hypotenuse of a right triangle is 8 ft less than three times the shorter leg,\r
\n" ); document.write( "\n" ); document.write( "3x-8\r
\n" ); document.write( "\n" ); document.write( "longer leg is 8 feet more than twice the shorter leg,\r
\n" ); document.write( "\n" ); document.write( "2x+8\r
\n" ); document.write( "\n" ); document.write( "Pythagoras theorem\r
\n" ); document.write( "\n" ); document.write( "leg1^2 +leg2^2 = hypotenuse ^2\r
\n" ); document.write( "\n" ); document.write( "x^2+(2x+8)^2=(3x-8)^2\r
\n" ); document.write( "\n" ); document.write( "x^2+4x^2+32x+64=9x^2-48x+64\r
\n" ); document.write( "\n" ); document.write( "9x^2-5x^2-80x=0\r
\n" ); document.write( "\n" ); document.write( "4x^2-80x=0
\n" ); document.write( "4x(x-20)=0
\n" ); document.write( "x=0 OR x=20\r
\n" ); document.write( "\n" ); document.write( "shorter leg 20
\n" ); document.write( "hypotenuse 3*20-8=52
\n" ); document.write( "longer leg 2*20+8=48\r
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