document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252093>Question 252093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> *i tried to put this in the geometry category for pythagreon thereom but for some reason it wouldnt let me \r<BR>\n" );
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document.write( "The hypotenuse of a right triangle is 2cm longer than one leg and 4cm longer then the other.\r<BR>\n" );
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document.write( "a.draw and label a diagram<BR>\n" );
document.write( "- i attempted to do this and i got the hypotenuse to be 4x and one leg to be 2x and the other to be x\r<BR>\n" );
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document.write( "b.let x represent the length of the hypotenuse. Use the pythagreon thereom to write an equation to solve for x.\r<BR>\n" );
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document.write( "-i used a squared + b squared=c squared and got 2x squared plus x squared= 4x squared, i was not sure if this was correct but i had to make an attempt\r<BR>\n" );
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document.write( "c. find the solutions from the equation in part b.<BR>\n" );
document.write( "- i tried to solve for x but i got zero which cant be right because if you plug it into the equation you get zero for all the sides which would make this whole question pointless\r<BR>\n" );
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document.write( "help would be very appreciated<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183851 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 2cm longer than one leg and 4cm longer then the other. <BR>\n" );
document.write( "a.draw and label a diagram<BR>\n" );
document.write( "Let one leg be x-2.<BR>\n" );
document.write( "hypotenuse = x<BR>\n" );
document.write( "Other leg = x-4<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "b.let x represent the length of the hypotenuse. Use the pythagreon thereom to write an equation to solve for x.<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x^2 = (x-2)^2 + (x-4)^2<BR>\n" );
document.write( "x^2 = x^2-4x+4 + x^2-8x+16<BR>\n" );
document.write( "x^2 = 2x^2 - 12x + 20<BR>\n" );
document.write( "x^2-12x+20 = 0<BR>\n" );
document.write( "(x-10)(x-2) = 0<BR>\n" );
document.write( "x = 2 or x = 10<BR>\n" );
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document.write( "Only solution is x=10 because all sides must be positive.<BR>\n" );
document.write( "hypotenuse = 10<BR>\n" );
document.write( "leg = 10-2 = 8<BR>\n" );
document.write( "leg = 10-4 = 6<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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