document.write( "Question 937849: The shortest side (AB) of a roof truss in the form of a right triangle is x meters long. the side (BC) is 1 m longer than (AB) and the longest side (AC) is 29 m long. form an equation for x and solve it to determine the length of the other two sides. \n" ); document.write( "
Algebra.Com's Answer #571250 by TimothyLamb(4379)\"\" \"About 
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h = sqrt( aa + bb )
\n" ); document.write( "a = x
\n" ); document.write( "b = x + 1
\n" ); document.write( "h = 29
\n" ); document.write( "---
\n" ); document.write( "29 = sqrt( xx + (x + 1)^2 )
\n" ); document.write( "29^2 = sqrt( xx + (x + 1)^2 )^2
\n" ); document.write( "841 = xx + (x + 1)^2
\n" ); document.write( "841 = xx + xx + 2x + 1
\n" ); document.write( "2xx + 2x + - 840 = 0
\n" ); document.write( "---
\n" ); document.write( "the above quadratic equation is in standard form, with a=2, b=2 and c=-840
\n" ); document.write( "---
\n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:
\n" ); document.write( "2 2 -840
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\n" ); document.write( "---
\n" ); document.write( "the quadratic has two real roots at:
\n" ); document.write( "---
\n" ); document.write( "x = 20
\n" ); document.write( "x = -21
\n" ); document.write( "---
\n" ); document.write( "the negative root doesn't fit the problem statement, so use the positive root:
\n" ); document.write( "---
\n" ); document.write( "x = 20
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "a = 20 m
\n" ); document.write( "b = 21 m
\n" ); document.write( "h = 29 m
\n" ); document.write( "---
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