document.write( "Question 1134270: a carpenter uses a 12 foot timber to brace a wall frame 8 feet high. if the construction site is level what is the distance the timber will extend out from the wall frame ? \n" ); document.write( "
Algebra.Com's Answer #751603 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! Pythagorean Theorem \n" ); document.write( "a² + b² = c² \n" ); document.write( "a and b are the legs \n" ); document.write( "c is the hypotenuse {the side across from the right angle}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12 is the hypotenuse \n" ); document.write( "8 is one of the legs \n" ); document.write( "b is the distance from the wall\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8² + b² = 12² {substituted into Pythagorean Theorem} \n" ); document.write( "64 + b² = 144 {evaluated exponents} \n" ); document.write( "b² = 80 {subtracted 64 from each side} \n" ); document.write( "b = √80 {took square root of each side} \n" ); document.write( "b = √16 √5 {broke down radical} \n" ); document.write( "b = 4√5 {evaluated square root of 16 \n" ); document.write( "or \n" ); document.write( "b ≈ 8.9 {decimal form} \n" ); document.write( " To ask Algebra House, visit: www.algebrahouse.com \n" ); document.write( " |