document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632305>Question 632305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the points A(1,5),B(4,-1),C(-2,-4) forms a triangle ABC.Prove that the triangle is right angled and find the area.....plezz help me..........\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398182 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = distance between B and C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-4-%28-1%29%29%5E2+%2B+%28-2-4%29%5E2%29+=+sqrt%2845%29+ ALIGN=MIDDLE  ALT=\"sqrt%28%28-4-%28-1%29%29%5E2+%2B+%28-2-4%29%5E2%29+=+sqrt%2845%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = distance between A and C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-4-5%29%5E2+%2B+%28-2-1%29%5E2%29+=+sqrt%2890%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28-4-5%29%5E2+%2B+%28-2-1%29%5E2%29+=+sqrt%2890%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = distance between A and B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-1-5%29%5E2+%2B+%284-1%29%5E2%29+=+sqrt%2845%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28-1-5%29%5E2+%2B+%284-1%29%5E2%29+=+sqrt%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+c%5E2+=+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+c%5E2+=+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2845%29%29%5E2+%2B+%28sqrt%2845%29%29%5E2+=+%28sqrt%2890%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%2845%29%29%5E2+%2B+%28sqrt%2845%29%29%5E2+=+%28sqrt%2890%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The sides satisfy the Pythagorean Theorem, therefore triangle ABC is a right triangle with angle B as a right angle.\r<BR>\n" );
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document.write( "the area is equal to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28base%29%28height%29%2F2 ALIGN=MIDDLE  ALT=\"A+=+%28base%29%28height%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28sqrt%2845%29%29%28sqrt%2845%29%29%2F2 ALIGN=MIDDLE  ALT=\"A+=+%28sqrt%2845%29%29%28sqrt%2845%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A+=+22.5%29 ALIGN=MIDDLE  ALT=\"highlight%28A+=+22.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > square units </SPAN>\n" );
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