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)\"\" \"About 
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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
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\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
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\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}
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