document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=554860>Question 554860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of the triangle with sides a: 2x+10 and b: 3x: Hypotenuse = 6x-5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361537 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=361537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "We know the area of a triangle is 1/2 Base times height.We know it's a right triangle because it says one side is the hypotenuse, So plug in:<BR>\n" );
document.write( "1/2(3x)(2x+10)=<BR>\n" );
document.write( "1/2(6x^2+30x)=<BR>\n" );
document.write( "3x^2+15x=Area<BR>\n" );
document.write( "We could write this as:<BR>\n" );
document.write( "3(x^2+5x)= Area of the triangle<BR>\n" );
document.write( "Another way to tackle this is to find the value of x by using the hypotenuse formula. It's more complicated but x equals approx 3.6709<BR>\n" );
document.write( "Once we have the value of x then plug it into 3(x^2+5x) <BR>\n" );
document.write( "This comes out to approx 95.49 square units. <BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ<BR>\n" );
document.write( "www.math-unlock.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );