document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887877>Question 887877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of one leg of a right triangle is 7 centimeters more than that of the other leg. the length of the hypotenuse is 3 centimeters more than double that of the shorter leg. find the length of each of the three sides of the three sides.<BR>\n" );
document.write( "x+7<BR>\n" );
document.write( "2x+3<BR>\n" );
document.write( "x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536901 by </B><A HREF=/tutors/aboutme.mpl?userid=2897696><B>2897696(96)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=2897696><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=2897696><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=536901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> PART of Right TRIANGLE:<BR>\n" );
document.write( "short leg: x<BR>\n" );
document.write( "long leg: x+7<BR>\n" );
document.write( "hypotenuse: 2x+3\r<BR>\n" );
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document.write( "we can use Pythagorean thm: a^2 +b^2 = c^2<BR>\n" );
document.write( "the a &b are the legs and the c is the hypotenuse of a right triangle.\r<BR>\n" );
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document.write( "x^2 + (x+7)^2 =(2x+3)^2<BR>\n" );
document.write( "x^2 +x^2+14x+49 = 4x^2+12x +9<BR>\n" );
document.write( "2x^2+14x+49=4x^2+12x=9<BR>\n" );
document.write( "...........0= 2x^2 -2x -4-40<BR>\n" );
document.write( "...........0=2(x^2 -x -20)<BR>\n" );
document.write( "...........0=2(x-5)(x+4)<BR>\n" );
document.write( "........... 0=2,0=x-5,0=x+4<BR>\n" );
document.write( "solve for x: 0=2 not a solution because 0 does not equal 2<BR>\n" );
document.write( "...........:x=5 can be a solution<BR>\n" );
document.write( "...........:x=-4 not a solution because cannot have a negative length<BR>\n" );
document.write( "so..<BR>\n" );
document.write( "the shortest leg length is 5 cm\r<BR>\n" );
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document.write( "long leg:<BR>\n" );
document.write( "x+7<BR>\n" );
document.write( "5+7<BR>\n" );
document.write( "12 cm\r<BR>\n" );
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document.write( "hypotenuse:<BR>\n" );
document.write( "2x+3<BR>\n" );
document.write( "2(5)+3<BR>\n" );
document.write( "10+3<BR>\n" );
document.write( "13 cm\r<BR>\n" );
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document.write( "ANSWER: short leg: 5cm<BR>\n" );
document.write( "long leg: 12cm<BR>\n" );
document.write( "hypotenuse: 13 cm\r<BR>\n" );
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document.write( "use Pythagorean thm to check if it this is the correct solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );