document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=603206>Question 603206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't know how to solve for the area of a triangle with a height of 5xsqrt and a base of 10x to the sixth power. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380631 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5347)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=380631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> NOTE:<BR>\n" );
document.write( "I may be misinterpreting \"5xsqrt\" and or \"10x to the sixth power\"<BR>\n" );
document.write( "The conventional way to type square roots and powers is like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=sqrt(x) , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E6=10%2Ax%5E6 ALIGN=MIDDLE  ALT=\"10x%5E6=10%2Ax%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >=10x^6=10*x^6 , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%29%5E6 ALIGN=MIDDLE  ALT=\"%2810x%29%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >=(10x)^6<BR>\n" );
document.write( "We use ^ to indicate that the exponent is written higher than the rest; we use * to indicate multiplication, and we use sqrt( ) when we mean square root, with whatever is under the radical sign in the brackets.<BR>\n" );
document.write( " <BR>\n" );
document.write( "IF THE PROBLEM WAS <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base=10x%5E6 ALIGN=MIDDLE  ALT=\"base=10x%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=height=5sqrt%28x%29 ALIGN=MIDDLE  ALT=\"height=5sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You must know that the area of a triangle can be calculated as 1/2 times base, times height.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=%281%2F2%29%2810x%5E6%29%285sqrt%28x%29%29 ALIGN=MIDDLE  ALT=\"area=%281%2F2%29%2810x%5E6%29%285sqrt%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That can be simplified somewhat.<BR>\n" );
document.write( "Because of the associative and commutative properties, numbers and expressions that are multiplied together can be multiplied in any order, grouping them in any way, with the same result.<BR>\n" );
document.write( "You have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E6 ALIGN=MIDDLE  ALT=\"x%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplied together, grouped by brackets in a certain way. The resulting product is the same if the grouping and order is changed to a more convenient way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2810x%5E6%29%285sqrt%28x%29%29=%28%281%2F2%29%2A10%2A5%29%28x%5E6%2Asqrt%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=%28%281%2F2%29%2A10%2A5%29%28x%5E6%2Asqrt%28x%29%29 ALIGN=MIDDLE  ALT=\"area=%28%281%2F2%29%2A10%2A5%29%28x%5E6%2Asqrt%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can do the indicated multiplication, and there are different ways to express it, but I like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=25x%5E6%2Asqrt%28x%29 ALIGN=MIDDLE  ALT=\"area=25x%5E6%2Asqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or the same thing without the dot between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E6 ALIGN=MIDDLE  ALT=\"x%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " <BR>\n" );
document.write( "IF THE PROBLEM WAS <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=base=%2810x%29%5E6 ALIGN=MIDDLE  ALT=\"base=%2810x%29%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=height=5sqrt%28x%29 ALIGN=MIDDLE  ALT=\"height=5sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you must know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%29%5E6=10%5E6%2Ax%5E6=1000000x%5E6 ALIGN=MIDDLE  ALT=\"%2810x%29%5E6=10%5E6%2Ax%5E6=1000000x%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "but the rest of the calculation is done in a similar way. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );