document.write( "Question 342978: a garden has the shape of a right triangle with one leg 2 meters longer than the other. The hypotenuse is 2 meters less than twice the length of the shorter leg. what is the length of the shorter leg \n" ); document.write( "
Algebra.Com's Answer #245549 by destro(1)![]() ![]() ![]() You can put this solution on YOUR website! First draw a right triangle; this will help to identify the formula a^2+b^2=c^2, the pogrom theorem. \n" ); document.write( " Next label the known sides (remember the hypotenuse is c^2 , the longest side). \n" ); document.write( "a^2=〖(x+2)〗^2 \n" ); document.write( "b^2=x^2 \n" ); document.write( "c^2=〖(2x-2)〗^2 \n" ); document.write( "Now transfer the information into an equation 〖(x+2)〗^2+x^2=〖(2x-2)〗^2 . \n" ); document.write( "Now solve for (x) step one “foil” the result is x^2+4x+4+x^2=〖4x〗^2-8x+4 \n" ); document.write( "Step two: combine like terms if any,〖2x〗^2+4x+4=〖4x〗^2-8x+4 \n" ); document.write( "Step three: Now set the equation = to 0 , 〖4x〗^2-8x+4-〖2x〗^2-4x-4=0(watch you signs) “it’s easy to get mixed up” \n" ); document.write( "Step four : combine terms again; 〖2x〗^2-12x and factor out common factors if any 2x(x-6) \n" ); document.write( "Step six : set the results to =0 2x=0,(x-6)=0, where 2x can = 0, 0is not a valid measurement for the shorter leg Add 6 to both sides of the second result to get x alone 6+x-6=0+6, \n" ); document.write( "X=6 the next two steps are check you answer (plug 6 in for x) if you answer dos not check , look at you math again, and last state the answer in a sentence. \n" ); document.write( "The shorter leg is 6 meters long \n" ); document.write( " \n" ); document.write( " |