document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205024>Question 1205024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a right angle triangle ABC side AC is 4cm shorter than the hypotenuse and side BC is also 4cm shorter than the hypotenuse. Find the dimensions of the triangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841609 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "In a right angle triangle ABC side AC is 4cm shorter than the hypotenuse and side BC is also 4cm shorter than the hypotenuse. Find the dimensions of the triangle\r<BR>\n" );
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document.write( "Since it is a right angled triangle we apply pythagoras theorem\r<BR>\n" );
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document.write( "let hypotenuse be x\r<BR>\n" );
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document.write( "AC= x-4<BR>\n" );
document.write( "BC = x-4\r<BR>\n" );
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document.write( "(x-4)^2+(x-4)^2= x^2\r<BR>\n" );
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document.write( "2(x-4)^2=x^2\r<BR>\n" );
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document.write( "2(x^2-8x+16)=x^2\r<BR>\n" );
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document.write( "2x^2-16x+32=x^2<BR>\n" );
document.write( "subtract x^2 from both sides\r<BR>\n" );
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document.write( "x^2-16x+32=0<BR>\n" );
document.write( "add 64 to both sides to solve by comp;eting the square metod\r<BR>\n" );
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document.write( "(x^2-16x+64)+32=64\r<BR>\n" );
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document.write( "(x-8)^2= 64-32\r<BR>\n" );
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document.write( "(x-8)^2= 32\r<BR>\n" );
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document.write( "take square root\r<BR>\n" );
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document.write( "x-8= +/- sqrt(32)\r<BR>\n" );
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document.write( "x= 8+/-sqrt(32)   The hypotenuse\r<BR>\n" );
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document.write( "sides are 4 less than the hypotenuse\r<BR>\n" );
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document.write( " </SPAN>\n" );
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