document.write( "Question 609396: The hypotenuse of a right triangle is 4 cm longer than three times the length of the shortest leg. The other leg is 1 cm shorter than the hypotenuse. Determine the lengths of the three legs of the triangle \n" ); document.write( "
Algebra.Com's Answer #383697 by flame8855(424)![]() ![]() You can put this solution on YOUR website! h= 4+3x \n" ); document.write( "y=h-1=4+3x-1=3+3x \n" ); document.write( "(4+3x)^2=x^2 +(3+3x)^2 \n" ); document.write( "16+9x^2+24x=x^2+ 9+9x^2+18x \n" ); document.write( "x^2-6x-7=0 \n" ); document.write( "(x+1)(x-7)=0 \n" ); document.write( "x= 7 \n" ); document.write( "h=25 \n" ); document.write( "y=24\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |