document.write( "Question 623119: Using The Pythagorean Theorem\r
\n" ); document.write( "\n" ); document.write( "Let a = x, and b = 2x + 4, so that c = 2x + 6.
\n" ); document.write( "Please help
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Algebra.Com's Answer #391882 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Using The Pythagorean Theorem
\n" ); document.write( "Let a = x, and b = 2x + 4, so that c = 2x + 6.
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\n" ); document.write( "a^2 + b^2 = c^2, therefore:
\n" ); document.write( "x^2 + (2x+4)^2 = (2x+6)^2
\n" ); document.write( "which is
\n" ); document.write( "x^2 + 4x^2 + 16x + 16 = 4x^2 + 24x + 36
\n" ); document.write( "combine like terms on the left
\n" ); document.write( "x^2 + 4x^2 - 4x^2 + 16x - 24x + 16 - 36 = 0
\n" ); document.write( "we have left
\n" ); document.write( "x^2 - 8x - 20 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-10)(x+2) = 0
\n" ); document.write( "the positive solution is what we want here
\n" ); document.write( "x = 10
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\n" ); document.write( "The threes side of the triangle
\n" ); document.write( "a = 10
\n" ); document.write( "b = 2(10)+4 = 24
\n" ); document.write( "c = 2(10)+6 = 26
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\n" ); document.write( "Check this on your calc: enter \"sqrt%2810%5E2+%2B+24%5E2%29\" results: 26
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