document.write( "Question 1181489: Given A = (-1,1), B = (9,1) and C = (9,4)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(a) find the length of each side of
\n" ); document.write( "the right triangle, and (b) show that these
\n" ); document.write( "lengths satisfy the Pythagorean Theorem.
\n" ); document.write( "

Algebra.Com's Answer #811384 by ikleyn(52858)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Given A = (-1,1), B = (9,1) and C = (9,4)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(a) find the length of each side of
\n" ); document.write( "the right triangle, and (b) show that these
\n" ); document.write( "lengths satisfy the Pythagorean Theorem.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "
\r\n" );
document.write( "One leg  AB is horizontal  y = 1  of the length of 10 = 9 - (-1)  units.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Other leg  BC is vertical  x = 9  of the length of  3 = 4 - 1  units.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "You do the rest.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Comment from student: No. This question involves the distance formula. Nevermind.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My response : Hello, in my post I showed you that two sides are perpendicular (one horizontal and other vertical)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and showed how to quickly and easily derermine their lengths MENTALLY without using long formulas.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Instead of saying  \"THANKS\"  to me for opening your eyes on the subject,  you start teach me.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you will not absorb my teaching,  this part of your brain which should understand this simple way of solving
\n" ); document.write( "the problem  WILL  BE  EMPTY.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  if you know the way of using the distance formula,  why did not you complete the assignment on your own ?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "At this forum,  I am an expert,  not you. \r
\n" ); document.write( "\n" ); document.write( "If you do not learn right methods from me,  then  FOR  WHAT  REASON  DO  YOU  COME  here,  to the forum ?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "With the only goal to teach me ? - - - I did not ask you about it.\r
\n" ); document.write( "\n" ); document.write( "Plus,  I  do not think that you can teach me something in  Math . . . \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  I do not understand the logic in your last word  \"Nevermind\". \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Is it a message to me to ignore your comment ?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Really,  it is worth it . . . \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "//////////////\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        MEMORIZE  it:  a person who in this simple problem uses the distance formula \r
\n" ); document.write( "\n" ); document.write( "        to calculate the lengths of these legs,  deserves a deep regret . . . \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );