document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130815>Question 1130815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the angle theta (in radians) that maximizes the area of the isosceles triangle whose legs have length = 7,using the fact that the area is given by <BR>\n" );
document.write( "A = 1/2l^2sin(theta). </SPAN>\n" );
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document.write( "Although not clearly stated in the problem, theta is the angle between the two sides of length 7.<br><BR>\n" );
document.write( "If you need to use the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29%287%5E2%29sin%28theta%29 ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29%287%5E2%29sin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to solve the problem, then consider one of the legs of length 7 as the base; then the height of the triangle is the length of the other leg of length 7, multiplied by sin(theta).  So clearly the area is maximum when sin(theta) is maximum -- which is at 90 degrees.<br><BR>\n" );
document.write( "You don't really need the formal mathematical formula to find that result.  With one of the legs of length 7 the base, the height of the triangle is the distance from the end of the other leg of length 7 to the base; obviously that distance is the greatest when the angle is 90 degrees. </SPAN>\n" );
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