document.write( "Question 183505: The length of one leg of a right triangle is 7 meters less than the length of the other leg. the length of the hypotenuse is 13 meters. find the lengths of the legs. \n" ); document.write( "
Algebra.Com's Answer #137822 by checkley77(12844) ![]() You can put this solution on YOUR website! x^2+(x-7)^2=13^2 \n" ); document.write( "x^2+x^2-14x+49=169 \n" ); document.write( "2x^2-14x+49-169=0 \n" ); document.write( "2x^2-14x-120=0 \n" ); document.write( "2(x^2-7x-60)=0 \n" ); document.write( "2(x-12)(x+5)=0 \n" ); document.write( "x-12=0 \n" ); document.write( "x=12 ans. \n" ); document.write( "12-7=5 ans. \n" ); document.write( "Proof: \n" ); document.write( "12^2=5^2=13^2 \n" ); document.write( "144+25=169 \n" ); document.write( "169=169 \n" ); document.write( " \n" ); document.write( " |