document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=863143>Question 863143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A(5;5), B(-7;1), C(1;-7) are the vertices of triangle ABC which is an isosceles triangle. D(x;y) is a point in Quadrant 4 such that ABCD is a parallelogram. Calculate the area of ABCD correct to 3 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520247 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=520247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance between two points	(AB)												<BR>\n" );
document.write( "x1	y1	x2	y2										<BR>\n" );
document.write( "													<BR>\n" );
document.write( "5	5	-7	1										<BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >												<BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%09%091%09-%095%09%29%5E2%09%2B%09%28%09-7%09-%095%09%29%5E2%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%09%091%09-%095%09%29%5E2%09%2B%09%28%09-7%09-%095%09%29%5E2%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%09%09-4%09%29%5E2%09%2B%09%28%09-12%09%29%5E2%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%09%09-4%09%29%5E2%09%2B%09%28%09-12%09%29%5E2%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >				<BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%09%09160%09%29++%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%09%09160%09%29++%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >								<BR>\n" );
document.write( "d=	12.65		\r<BR>\n" );
document.write( "\n" );
document.write( "Distance between two points (BC)												<BR>\n" );
document.write( "x1	y1	x2	y2										<BR>\n" );
document.write( "													<BR>\n" );
document.write( "1	-7	-7	1										<BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >												<BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%09%091%09-%09-7%09%29%5E2%09%2B%09%28%09-7%09-%091%09%29%5E2%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%09%091%09-%09-7%09%29%5E2%09%2B%09%28%09-7%09-%091%09%29%5E2%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%09%098%09%29%5E2%09%2B%09%28%09-8%09%29%5E2%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%09%098%09%29%5E2%09%2B%09%28%09-8%09%29%5E2%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >				<BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%09%09128%09%29++%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%09%09128%09%29++%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >								<BR>\n" );
document.write( "d=	11.31												\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Distance between two points	(AC)												<BR>\n" );
document.write( "x1	y1	x2	y2										<BR>\n" );
document.write( "													<BR>\n" );
document.write( "-7	1	5	5										<BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >												<BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%09%095%09-%091%09%29%5E2%09%2B%09%28%095%09-%09-7%09%29%5E2%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%09%095%09-%091%09%29%5E2%09%2B%09%28%095%09-%09-7%09%29%5E2%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%09%094%09%29%5E2%09%2B%09%28%0912%09%29%5E2%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%09%094%09%29%5E2%09%2B%09%28%0912%09%29%5E2%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >				<BR>\n" );
document.write( "d=	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%09%09160%09%29++%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28%09%09160%09%29++%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >								<BR>\n" );
document.write( "d=	12.65												<BR>\n" );
document.write( "										<BR>\n" );
document.write( "Apply Herons formula for area of triangle\r<BR>\n" );
document.write( "\n" );
document.write( "Area of triangle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "where s = 1/2 perimeter<BR>\n" );
document.write( "Perimeter36.61<BR>\n" );
document.write( "s=18.31\r<BR>\n" );
document.write( "\n" );
document.write( "Area =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%2818.31%2818.31-11.31%29%5E2%2B%2818.31-12.65%29%5E2%2B%2818.31-12.65%29%5E2%29 ALIGN=MIDDLE  ALT=\"+sqrt%2818.31%2818.31-11.31%29%5E2%2B%2818.31-12.65%29%5E2%2B%2818.31-12.65%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=31.004\r<BR>\n" );
document.write( "\n" );
document.write( "area of parallelogram = 2 * area of triangle\r<BR>\n" );
document.write( "\n" );
document.write( "=2*31.004<BR>\n" );
document.write( "=62.008 sq. units<BR>\n" );
document.write( "= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );