document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093304>Question 1093304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An isosceles trapezoid is inscribed in a circle, the upper base is 12cm, the other base is 16cm, sides are 2xsqrt(2). What is the diameter of the circle?<BR>\n" );
document.write( "In class we worked out that the height of this trapezoid is 2cm, and at home I understood that the acute angles are 45* because the sides of that triangle are equal and one angle is 90*. What to do next? (Please explain as simple as possible as english is not my first language) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707930 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=707930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We want the length of a diagonal(d) of the isosceles trapezoid<BR>\n" );
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document.write( "the 16cm base extends 2cm on either side( (16-12) / 2 )<BR>\n" );
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document.write( "14^2 + 2^2 = d^2<BR>\n" );
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document.write( "d = square root(14^2 + 2^2) = 14.14<BR>\n" );
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document.write( "we are given<BR>\n" );
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document.write( "1) the equal sides of trapezoid, a = 2 * square root(2)<BR>\n" );
document.write( "2) bases b = 16, c = 12<BR>\n" );
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document.write( "let s = (a + d + c) / 2 = (2*square root(2) + 14.14 + 12) / 2 = 14.48<BR>\n" );
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document.write( "Radius of circumscribed circle =<BR>\n" );
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document.write( "(a * d * c) / ( 4 * square root(s * (s-a) * (s-d) * (s-c) ) =<BR>\n" );
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document.write( "(2*square root(2) * 14.14 * 12) / ( 4 * square root( 14.48 * (14.48-2*square root(2) * (14.48-14.14) * (14.48-12) ) =<BR>\n" );
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document.write( "479.93 / 47.71 = 10.06<BR>\n" );
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document.write( "Radius of circumscribed circle = 10.06 cm<BR>\n" );
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