document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766161>Question 766161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right-angled triangle is 8 cm long and the perimeter of a triangle is 17 cm. Find the lengths of the other two sides, giving your answer correct to 3 significant figures.<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 #466702 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "The hypotenuse of a right-angled triangle is 8 cm long and the perimeter of a triangle is 17 cm. Find the lengths of the other two sides, giving your answer correct to 3 significant figures.<BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "Let x be the length of one leg.<BR>\n" );
document.write( "Therefore, the other leg measures 9-x.<BR>\n" );
document.write( "Using Pythagorean Theorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%289-x%29%5E2+=+8%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%289-x%29%5E2+=+8%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-18x%2B17=0 ALIGN=MIDDLE  ALT=\"2x%5E2-18x%2B17=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Apply the Quadratic Formula<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28-18%29%2B-sqrt%28%28-18%29%5E2-4%282%29%2817%29%29%29%2F%282%282%29%29 ALIGN=MIDDLE  ALT=\"%28-%28-18%29%2B-sqrt%28%28-18%29%5E2-4%282%29%2817%29%29%29%2F%282%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x &#8776; 7.93 OR 1.07<BR>\n" );
document.write( "9-x &#8776; 1.07 OR 7.93<BR>\n" );
document.write( "The lengths of the other two sides are approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%287.93%29 ALIGN=MIDDLE  ALT=\"highlight%287.93%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281.07%29 ALIGN=MIDDLE  ALT=\"highlight%281.07%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm. </SPAN>\n" );
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