document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90472>Question 90472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me figure the following problem out. Thank you\r<BR>\n" );
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document.write( "One leg of a right triangle is 6 cm longer than the other leg. The length of the hypothenuse of the triangle is 18 cm. Find the length of the two legs? </SPAN>\n" );
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document.write( "     One leg of a right triangle is 6 cm longer than the other leg. The length of the hypothenuse of the triangle is 18 cm. Find the length of the two legs?\r<BR>\n" );
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document.write( "  Let the length of the smaller leg be = x cm<BR>\n" );
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document.write( "     the length of the longer leg      = x+6  cm<BR>\n" );
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document.write( "                   hypotenuse          = 18 cm<BR>\n" );
document.write( " According to pythagorous theorem(hypotenuse)^2= (smaller leg )^2+(longer leg)^2<BR>\n" );
document.write( "   \r<BR>\n" );
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document.write( "                        (18)^2 = x^2+(x+6)^2\r<BR>\n" );
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document.write( "                          324 = x^2+x^2+12x+36\r<BR>\n" );
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document.write( "                       2x^2+12x+36-324 = 0\r<BR>\n" );
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document.write( "                       2x^2+12x-288 = 0<BR>\n" );
document.write( "       divide by 2 throughout\r<BR>\n" );
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document.write( "                      x^2+6x-144 = 0    since we cannot factorise 144 exactly we have to use the formula   x = -b+-sqrtb^2-4ac divided by 2a\r<BR>\n" );
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document.write( "     on simplifying we get x = -3+-sqrt 153.  \r<BR>\n" );
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document.write( "         the longer side  will be +3+-sqrt 153  </SPAN>\n" );
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