document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67603>Question 67603</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1) the area of a right triangle is 44m squared. find the lengths of its legs if one of the legs is 3 m longer than the other\r<BR>\n" );
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document.write( "2) the hypotneuse of a right triangle is 25m long. the length of one leg is 10m less than twice the other. find the length of each leg.\r<BR>\n" );
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document.write( "please show your work<BR>\n" );
document.write( "thank you very much!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48104 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=48104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) the area of a right triangle is 44m squared. find the lengths of its legs if one of the legs is 3 m longer than the other<BR>\n" );
document.write( "Let one of the legs be \"x\".<BR>\n" );
document.write( "The other leg is \"x+3\"<BR>\n" );
document.write( "Area = (1/2)x(x+3)=44<BR>\n" );
document.write( "x(x+3)=88<BR>\n" );
document.write( "x^2+3x-88=0<BR>\n" );
document.write( "(x+11)(x-8)=0<BR>\n" );
document.write( "x= -11 or x=8<BR>\n" );
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document.write( "2) the hypotneuse of a right triangle is 25m long. the length of one leg is 10m less than twice the other. find the length of each leg.\r<BR>\n" );
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document.write( "Let one of the legs be \"x\".<BR>\n" );
document.write( "The other leg is \"2x-10\".<BR>\n" );
document.write( "Use Pythagoras to get:<BR>\n" );
document.write( "x^2+(2x+10)^2 = 25^2<BR>\n" );
document.write( "x^2 + 4x^2+40x+100=625<BR>\n" );
document.write( "6x^2+40x-525=0<BR>\n" );
document.write( "x=[-40+-sqrt(40^2-4*6*-525)/12<BR>\n" );
document.write( "x=[-40+-sqrt(14200)]/12<BR>\n" );
document.write( "x=6.597 (one of the legs)<BR>\n" );
document.write( "2x+10=23.194 (the other leg)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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