document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91719>Question 91719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right angled triange PQR is drawn such that QR is hypotenuse, QP is Base and RP is Perpendicular. Equilateral triangles are drawn on the sides of right angled triangle. Is area Q = Area P + Area R? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66589 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=66589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equilateral triangle with side PQ is referred Tri_R (opposite to vertex R).<BR>\n" );
document.write( "The equilateral triangle with side QR is referred Tri_P (opposite to vertex P).<BR>\n" );
document.write( "The equilateral triangle with side RP is referred Tri_Q (opposite to vertex Q).\r<BR>\n" );
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document.write( "From Pythagoras' theorem in right angled triangle RPQ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=QR%5E2+=+PQ%5E2+%2B+RP%5E2 ALIGN=MIDDLE  ALT=\"QR%5E2+=+PQ%5E2+%2B+RP%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ________ (1)\r<BR>\n" );
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document.write( "Now, area of an equilateral triangle with side equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+sqrt%283%29a%5E2%2F4 ALIGN=MIDDLE  ALT=\"A+=+sqrt%283%29a%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, area of Tri_P is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A_P+=+sqrt%283%29QR%5E2%2F4 ALIGN=MIDDLE  ALT=\"A_P+=+sqrt%283%29QR%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > _____ (2)<BR>\n" );
document.write( "So, area of Tri_Q is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A_Q+=+sqrt%283%29RP%5E2%2F4 ALIGN=MIDDLE  ALT=\"A_Q+=+sqrt%283%29RP%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > _____ (3)<BR>\n" );
document.write( "So, area of Tri_R is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A_R+=+sqrt%283%29PQ%5E2%2F4 ALIGN=MIDDLE  ALT=\"A_R+=+sqrt%283%29PQ%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > _____ (4)\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A_Q+%2B+A_R+=+sqrt%283%29RP%5E2%2F4+%2B+sqrt%283%29PQ%5E2%2F4 ALIGN=MIDDLE  ALT=\"A_Q+%2B+A_R+=+sqrt%283%29RP%5E2%2F4+%2B+sqrt%283%29PQ%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > [from (3) and (4)]<BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A_Q+%2B+A_R+=+sqrt%283%29%28RP%5E2+%2B+PQ%5E2%29%2F4 ALIGN=MIDDLE  ALT=\"A_Q+%2B+A_R+=+sqrt%283%29%28RP%5E2+%2B+PQ%5E2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A_Q+%2B+A_R+=+sqrt%283%29QR%5E2%2F4 ALIGN=MIDDLE  ALT=\"A_Q+%2B+A_R+=+sqrt%283%29QR%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > [from (1)]<BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A_Q+%2B+A_R+=+A_P ALIGN=MIDDLE  ALT=\"A_Q+%2B+A_R+=+A_P\"   DISABLED_style= \"max-width:90%; height:auto;\" > [from (2)] </SPAN>\n" );
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