document.write( "Question 20150: Please help me with this problem using the pythagrean theorum. One leg of a right triangle is 8 inches long. The hypotenuse is 2 inches longer than the other leg. What is the length of the hypotenuse. \n" ); document.write( "
Algebra.Com's Answer #9724 by suresh(20)![]() ![]() ![]() You can put this solution on YOUR website! By pythagrean theorem,\r \n" ); document.write( "\n" ); document.write( "(hupotenuse)^2 = sum of squares of the legs\r \n" ); document.write( "\n" ); document.write( "Given \n" ); document.write( "leg1=8 \n" ); document.write( "We have to find leg2. \n" ); document.write( "Let x be the length of leg2. \n" ); document.write( "Given that hypotenuse(h) is 2 inches longer then x. \n" ); document.write( "So h=x+2\r \n" ); document.write( "\n" ); document.write( "therefore,h^2=8^2+x^2 \n" ); document.write( "(x+2)^2=64+x^2 \n" ); document.write( "x^2+4x+4=64+x^2 \n" ); document.write( "4x+4=64 (cancellation law) \n" ); document.write( "4x=60 \n" ); document.write( "x=15 \n" ); document.write( "Hence the length of other side is 15 inches \n" ); document.write( " |