document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028878>Question 1028878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the tangency point of a circle,inscribed in a right angled triangle ,divides its hypotenuse by the segment 5cm and 12cm.find the triangles legs  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643955 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=hypo\">\r<BR>\n" );
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document.write( "(x+6)^2+(x+12)^2=(12+6)^2\r<BR>\n" );
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document.write( "x^2+12x+36+x^2+24x+144=324\r<BR>\n" );
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document.write( "2x^2+36x+180=324\r<BR>\n" );
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document.write( "2x^2+36x-144=0\r<BR>\n" );
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document.write( "x^2+18x-72=0\r<BR>\n" );
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document.write( "Find the roots of the equation by quadratic formula							<BR>\n" );
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document.write( "a=	1	b=	18	c=	-72		<BR>\n" );
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document.write( "b^2-4ac=	324	-	-288				<BR>\n" );
document.write( "b^2-4ac=	612			<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%09612%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%09612%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	24.74<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "x1=(	-18	+	24.74	)/	2		<BR>\n" );
document.write( "x1=	3.37						<BR>\n" );
document.write( "x2=(	-18	-24.74	) /	2			<BR>\n" );
document.write( "x2=	-21.37						<BR>\n" );
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document.write( "x	=	3.37					\r<BR>\n" );
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document.write( "The legs are 9.37cm & 15.37cm </SPAN>\n" );
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