document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178012>Question 1178012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The coordinates of the point P,Q,R are (-1,11),(2,5) and (t,3) respectively. Given that ∠PQR = 90 °, calculate the value of t. The line PQ is produced to S so that QS = PQ. Calculate the coordinates of S. </SPAN>\n" );
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document.write( "Part 1: find t.<br><BR>\n" );
document.write( "From P to Q is 3 units right and 6 units down; the slope of PQ is -2.<br><BR>\n" );
document.write( "PQR is a right angle, so the slope of QR is +1/2.  That means on QR the change in y is 1/2 the change in x -- i.e., the change in x is 2 times the change in y.<br><BR>\n" );
document.write( "From Q to R the change in y is -2, so the change in x has to be -4.  A change of -4 in x and a change of -2 in y from Q(2,5) puts us at R(-2,3).<br><BR>\n" );
document.write( "ANSWER: t = -2.<br><BR>\n" );
document.write( "Part 2: Find the coordinates of point S.<br><BR>\n" );
document.write( "S is on PQ extended, and QS = PQ.<br><BR>\n" );
document.write( "From P to Q was 3 units right and 6 units down; from Q to S will be the same.<br><BR>\n" );
document.write( "3 right and 6 down from Q(2,5) puts us at S(5,-1).<br><BR>\n" );
document.write( "ANSWER: S is (5,-1).<br><BR>\n" );
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