document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=600355>Question 600355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can I find the height of a triangle that has a base of 10in. and a two sides that measure 13in? PLEASE HELP ME.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379286 by </B><A HREF=/tutors/aboutme.mpl?userid=mamiya><B>mamiya(56)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mamiya><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=379286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since two sides measures 13 in, that means we are talking about an isosceles triangle.\r<BR>\n" );
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document.write( "the height of that triangle is the distance between the midpoint of the base and the meeting point of the other two sides. <BR>\n" );
document.write( " That height is perpendicular to the base ( because it is an isosceles triangle)\r<BR>\n" );
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document.write( "By applying the Pythagorean Theorem, we get<BR>\n" );
document.write( " h^2 + (b\2)^2 =  s^2   ( where h represents the height , b the base and s one of the other sides.<BR>\n" );
document.write( "   S0 we have  h^2 = s^2 - (b/2)^2<BR>\n" );
document.write( "                   = 13^2 - (10/2)^2<BR>\n" );
document.write( "                   = 169 - 25<BR>\n" );
document.write( "                   = 144\r<BR>\n" );
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document.write( " h^2 = 144 ,  so h = sqrt( 144) = 12\r<BR>\n" );
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document.write( "so the height is 12in </SPAN>\n" );
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