document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870657>Question 870657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Math Tutor,\r<BR>\n" );
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document.write( "A triangle is formed by the points A(-1,3), B(5,7 and C(0,8)<BR>\n" );
document.write( "(a) show that angle ACB is a right angle<BR>\n" );
document.write( "(b) Find the coordinates of the point where the line through B parallel to AC cuts the x-axis.\r<BR>\n" );
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document.write( "Would greatly appreciate your help.\r<BR>\n" );
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document.write( "With gratitude,<BR>\n" );
document.write( "Nats\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 #525045 by </B><A HREF=/tutors/aboutme.mpl?userid=dkppathak><B>dkppathak(439)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkppathak><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=dkppathak><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=525045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A triangle is formed by the points A(-1,3), B(5,7 and C(0,8)<BR>\n" );
document.write( "(a) show that angle ACB is a right angle<BR>\n" );
document.write( "(b) Find the coordinates of the point where the line through B parallel to AC cuts the x-axis. <BR>\n" );
document.write( "Answer by distance formula <BR>\n" );
document.write( "(A)<BR>\n" );
document.write( "AB=square root of (5+1)^2+ (7-3)^2 =36 +16 =SQUARE ROOT OF 52<BR>\n" );
document.write( "AC=SQUARE ROOT OF (0+1)^2 +(8-3)^2 = 1+ 25 = SQUARE ROOT OF 26<BR>\n" );
document.write( "BC =SQUARE ROOT OF (0-5)^2 +(8-7)^2 = 25 + 1= SQUARE ROOT OF 26<BR>\n" );
document.write( "BY USING PYTHAGORAS THEOREM FOR RIGHT TRIANGLE <BR>\n" );
document.write( " (SQUARE ROOT OF 52)^2 =(SQUARE ROOT OF 26)^2 + ( SQUARE ROOT OF 26)^2<BR>\n" );
document.write( "52 = 26 +26<BR>\n" );
document.write( "52 = 52 PYTHAGORAS THEOREM SATISFIED THEREFORE WE CAN SAY ANGLE  ACB  IS RIGHT ANGLE  PROVED <BR>\n" );
document.write( "(B)<BR>\n" );
document.write( "SLOP OF AC =8-3/0+1 = 5/1<BR>\n" );
document.write( "SLOPE OF LINE PASSING THROUGH B AND INTERSECT X AXIS LET COORDINATE AT X AXIS IS (X,0)<BR>\n" );
document.write( "SLOPE OF LINE = 0-7/X-5 =-7/X-5<BR>\n" );
document.write( "SLOPE OF PARALLEL LINES ARE ALWAYS EQUAL<BR>\n" );
document.write( "-7/X-5 =5/1<BR>\n" );
document.write( "-7 =5(X-5)<BR>\n" );
document.write( "-7= 5X-25<BR>\n" );
document.write( "-7+25 =5X<BR>\n" );
document.write( "18=5X<BR>\n" );
document.write( "X=18/5= 3.6<BR>\n" );
document.write( "COORDINATES ARE (3.6,0) AT X AXIS \r<BR>\n" );
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