document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87246>Question 87246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the lengths of sides of a right angled triangle are respectively 6-x,13-x and 14-x.calculate the lengths of the sides.<BR>\n" );
document.write( "  let the sides of the triangle be =a,b,&c    a=14-x , b=13-x &c=6-x<BR>\n" );
document.write( "                a^2=b^2+c^2    (14-x)^2=(13-x)^2+(6-x)^2<BR>\n" );
document.write( "                             196-28x+x^2= 169-26x+x^2+36-12x+x^2<BR>\n" );
document.write( "                                        =x^2+x^2+169+36-26x-12x-x^2+28x-196<BR>\n" );
document.write( "                                        = x^2+205-196-38x+28x<BR>\n" );
document.write( "                                        = x^2-10x+9<BR>\n" );
document.write( "                      x^2-10x+9=0    (x-9)(x-1)=0 x-9=0  x=9  or x-1=0  or x=1\r<BR>\n" );
document.write( "\n" );
document.write( "therefore if x=9 then a=14-9=5,b=13-9=4 &c=6-9=-3\r<BR>\n" );
document.write( "\n" );
document.write( "          if x=1 then a=14-1=13, b=13-1=12 &c=6-1=5 </SPAN>\n" );
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