document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31474>Question 31474</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130536164/algebrahomeworkh>new york math a/b</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the midpoint of the hypotnuse of a right triangle is equidistant from the vertices.\r<BR>\n" );
document.write( "\n" );
document.write( "given: angle MON is a right angle, P is the midpoint of MN\r<BR>\n" );
document.write( "\n" );
document.write( "Prove: MP= PN =OP </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18149 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=18149\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the midpoint of the hypotnuse of a right triangle is equidistant from the vertices.<BR>\n" );
document.write( "WHAT IS THE TRIANGLE NAME?MNO?\r<BR>\n" );
document.write( "\n" );
document.write( "given: angle MON is a right angle,<BR>\n" );
document.write( "OK...ASSUMING MNO IS THE TRIANGLE<BR>\n" );
document.write( "MN IS HYPOTENUSE. <BR>\n" );
document.write( " P is the midpoint of MN<BR>\n" );
document.write( "SO MP=PN.<BR>\n" );
document.write( "NOW IF WE TAKE MN AS DIAMETER AND P ITS MIDPOINT AS CENTRE AND DRAW A CIRCLE<BR>\n" );
document.write( "IT SHOULD PASS THROUGH O,SINCE ANGLE MON=90 AS GIVEN AND A SEMICIRCLE SUBTENDS 90 ANGLE AT ANY POINT ON ITS CIRCUMFERENCE AND VISE VERSA.AS O LIES ON CIRCLE AND PI NTHE CENTRE PO=RADIUS = DIAMETER/2=MN/2=MP=PN AS P  IS MIDPOINT OF MN. \r<BR>\n" );
document.write( "\n" );
document.write( "Prove: MP= PN =OP\r<BR>\n" );
document.write( "\n" );
document.write( "MN IS \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Prove: MP= PN =OP </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );