document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000378>Question 1000378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good day! Can you help me with my homework? Here's the question\r<BR>\n" );
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document.write( "An equilateral triangle is circumscribed about a circle of radius of 10&#8730;3 cm.  What is the perimeter of the triangle?\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617873 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=617873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Good day! Can you help me with my homework? Here's the question <BR>\n" );
document.write( "An equilateral triangle is circumscribed about a circle of radius of 10&#8730;3 cm. What is the perimeter of the triangle? <BR>\n" );
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document.write( "Sketch the picture of the circle inside the equilateral triangle.<BR>\n" );
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document.write( "Draw a radius from the center to a point of tangency.<BR>\n" );
document.write( "That is a perpendicular bisector of the side of the triangle.<BR>\n" );
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document.write( "Draw a line secment from the center to a vertex thus forming a right triangle.<BR>\n" );
document.write( "That is a bisector of the vertex angle.<BR>\n" );
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document.write( "You have a 30-60-90 degree right triangle.<BR>\n" );
document.write( "The height is 10sqrt(3); the hypotenuse is 20sqrt(3)<BR>\n" );
document.write( "Let the 3rd side by x<BR>\n" );
document.write( "x^2 = 400*3 - 100*3<BR>\n" );
document.write( "x^2 = 300*3 = 900<BR>\n" );
document.write( "x = 30<BR>\n" );
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document.write( "That \"x\" is half of a side of the triangle.<BR>\n" );
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document.write( "Perimeter = 3*60 = 180 cm<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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