document.write( "Question 789883: An isosceles right triangle has legs measuring (x + 1) cm each. The hypotenuse has measure (x + 5) cm. Find x.\r
\n" ); document.write( "\n" ); document.write( "I know that a^2+b^2=c^2\r
\n" ); document.write( "\n" ); document.write( "therefore\r
\n" ); document.write( "\n" ); document.write( "(x+1)(x+1)+(x+1)(x+1)=(x+5)(x+5)
\n" ); document.write( "x^2+2x+1+x^2+2x+1=x^2+10x+25
\n" ); document.write( "2x^2+4x+2=x^2+10x+25\r
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\n" ); document.write( "\n" ); document.write( "If I put all the variables on one side like this:
\n" ); document.write( "x^2-6x=23\r
\n" ); document.write( "\n" ); document.write( "I'm not sure what do next or if that is the right thing to do. \n" ); document.write( "
Algebra.Com's Answer #478967 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
An isosceles right triangle has legs measuring (x + 1) cm each. The hypotenuse has measure (x + 5) cm. Find x.
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\n" ); document.write( "(x+1)^2 + (x+1)^2 = (x+5)^2
\n" ); document.write( "x^2 + 2x+1 + x^2 + 2x + 1 = x^2 + 10x + 25
\n" ); document.write( "----
\n" ); document.write( "x^2 -6x -23 = 0
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\n" ); document.write( "Use the quadratic formula to get:
\n" ); document.write( "x = [6 +- sqrt(36-4*-23)]/2
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\n" ); document.write( "x = [6 +- sqrt(128)]/2
\n" ); document.write( "x = [6 +- 8sqrt(2)]/2
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\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 3 + 4sqrt(2)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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