document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179757>Question 179757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Area of a triangle. Find the exact area of a triangle of a triangle with a base of square root of 30 and the height of square root of 6 meters. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134661 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The area of a triangle is given by:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A =  \frac {bh}{2}\"> where <i>b</i> represents the measure of the base and <i>h</i> represents the measure of the height.\r<BR>\n" );
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document.write( "For your problem:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A =  \frac {(sqrt{30})(sqrt{6})}{2}\"> \r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (sqrt{a})(sqrt{b}) = sqrt{ab} \text {  } \math \forall a, b \in \R, a \geq 0, b \geq 0\"> we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A =  \frac {sqrt{180}}{2}\">\r<BR>\n" );
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document.write( "But:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 180 = 4 \times 9 \times 5\">\r<BR>\n" );
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document.write( "So:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac {(2)(3)sqrt{5}}{2}=3 sqrt{5}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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