document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158199>Question 1158199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides of the triangle into segments of what lengths? What is the radius of the circle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781108 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"https://www.imageupload.net/image/DdaZy\"><IMG STYLE=\"max-width:80%;\" src=\"https://imagehost.imageupload.net/2020/05/05/radius-circle-inscribed-isosceles-triangle.th.png\" alt=\"radius-circle-inscribed-isosceles-triangle.png\" border=\"0\" /></a>\r<BR>\n" );
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document.write( "If the base length of the isosceles triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+ ALIGN=MIDDLE  ALT=\"b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and the two legs are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > then prove that the radius of the inscribed circle is given by formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%28b%2F2%29sqrt%28%282a-b%29%2F%282a%2Bb%29%29 ALIGN=MIDDLE  ALT=\"r=%28b%2F2%29sqrt%28%282a-b%29%2F%282a%2Bb%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=13 ALIGN=MIDDLE  ALT=\"a=13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=10 ALIGN=MIDDLE  ALT=\"b=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%2810%2F2%29sqrt%28%282%2A13-10%29%2F%282%2A13%2B10%29%29 ALIGN=MIDDLE  ALT=\"r=%2810%2F2%29sqrt%28%282%2A13-10%29%2F%282%2A13%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5sqrt%2816%2F36%29 ALIGN=MIDDLE  ALT=\"r=5sqrt%2816%2F36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5%28sqrt%2816%29%2Fsqrt%2836%29%29 ALIGN=MIDDLE  ALT=\"r=5%28sqrt%2816%29%2Fsqrt%2836%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5%284%2F6%29 ALIGN=MIDDLE  ALT=\"r=5%284%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=20%2F6 ALIGN=MIDDLE  ALT=\"r=20%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=3.33in ALIGN=MIDDLE  ALT=\"r=3.33in\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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