document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=239336>Question 239336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Area of the largest triangle that can be inscribed in a semi-circle of radius r units is\r<BR>\n" );
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document.write( "(A) r^2 sq. units  b) 1/2 r^2 sq. units  c) 2 r^2 sq. units\r<BR>\n" );
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document.write( "d)square root(2) r2 sq. units </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175724 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I believe the solution is going to be A (r^2 squared units).\r<BR>\n" );
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document.write( "The area of a triangle is equal to the base times the height.\r<BR>\n" );
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document.write( "In a semi circle, the diameter is the base of the semi-circle.\r<BR>\n" );
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document.write( "This is equal to 2*r (r = the radius)\r<BR>\n" );
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document.write( "If the triangle is an isosceles triangle with an angle of 45 degrees at each end, then the height of the triangle is also a radius of the circle.\r<BR>\n" );
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document.write( "A = (1/2)*b*h formula for the area of a triangle becomes:\r<BR>\n" );
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document.write( "A = (1/2)*2*r*r because:\r<BR>\n" );
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document.write( "The base of the triangle is equal to 2*r<BR>\n" );
document.write( "The height of the triangle is equal to r\r<BR>\n" );
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document.write( "A = (1/2)*2*r*r becomes:\r<BR>\n" );
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document.write( "A = r^2\r<BR>\n" );
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document.write( "Since the area of the triangle is equal to (1/2)*b*h, and the base remains the same while the height of the triangle is less at any other point on the surface of the semi-circle, then the largest area is when the height equals the radius of the triangle.\r<BR>\n" );
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document.write( "Your answer is selection A.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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