document.write( "Question 89203: The hypotenuse of a right triangle is 60 cm. If one leg is five centimeters longer than the other leg, what is the length of the legs? \n" ); document.write( "
Algebra.Com's Answer #64829 by Nate(3500) ![]() You can put this solution on YOUR website! Smaller Leg: x \n" ); document.write( "Longer Leg: x + 5 \n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "x^2 + x^2 + 10x + 25 = 3600 \n" ); document.write( "2x^2 + 10x = 3575 \n" ); document.write( "x^2 + 5x = 1787.5 \n" ); document.write( "(x + 2.5)^2 = 1793.75 \n" ); document.write( "x = -2.5 +- sqrt(1793.75) \n" ); document.write( "A length can not be expressed as a negative length: \n" ); document.write( "Smaller Leg: -2.5 + sqrt(1793.75) \n" ); document.write( "Longer Leg: 2.5 + sqrt(1793.75) \n" ); document.write( " |