document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274701>Question 274701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Rectangle is inscribed in a semicircle of radius 10. Find a function that models the area (A) of the rectangle in terms of its Height (H).\r<BR>\n" );
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document.write( "WOW! I don't even know how to begin on this one. The answer is the textbook is  A(h)=2h times square root of 100-h squared.<BR>\n" );
document.write( "Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200471 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=200471\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the rectangle sits centered on the diameter with the upper corners touching the semicircle\r<BR>\n" );
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document.write( "two radii drawn to the upper corners divide the rectangle into three triangles\r<BR>\n" );
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document.write( "the area of one of the smaller outer triangles is equal to 1/4 of the area of the rectangle<BR>\n" );
document.write( "(bisecting the larger central triangle shows the 4 smaller congruent triangles)\r<BR>\n" );
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document.write( "the hypotenuse of the triangle is the radius (10)<BR>\n" );
document.write( "the height of the triangle is the height of the rectangle (h)\r<BR>\n" );
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document.write( "by Pythagoras, the base of the triangle is ___ sqrt(100 - h^2)\r<BR>\n" );
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document.write( "the area of the triangle is ___ (1/2) (h) (sqrt(100 - h^2))\r<BR>\n" );
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document.write( "the area of the rectangle is 4 times the triangle </SPAN>\n" );
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