document.write( "Question 445463: one leg of a right triangle is 7 units longer than the length of the other leg if the hypotenuse is 13 then find the other two legs decide what to make x write and equation would it be 13=7+2(x) with x=3?
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Algebra.Com's Answer #306836 by rajagopalan(174)![]() ![]() You can put this solution on YOUR website! Let one leg = x \n" ); document.write( "other leg=x+7 \n" ); document.write( "then 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 \n" ); document.write( "2x^2+14x+49-169=0 \n" ); document.write( "2x^2+14x-120=0 \n" ); document.write( "x^2+7x-60=0 divide both sides by 2 \n" ); document.write( "x^2+12x-5x-60=0 \n" ); document.write( "x(x+12)-5(x+12)=0 \n" ); document.write( "(x-5)(x+12)=0 \n" ); document.write( "giving x=5 or -12. ignore negative value \n" ); document.write( "we get x=5 \n" ); document.write( "other side=5+7=12 \n" ); document.write( "okay \n" ); document.write( " \n" ); document.write( " |