Question 1181489
.
Given A = (-1,1), B = (9,1) and C = (9,4)


(a) find the length of each side of 
the right triangle, and (b) show that these 
lengths satisfy the Pythagorean Theorem.
~~~~~~~~~~~~~~~~~~


.
<pre>
One leg  AB is horizontal  y = 1  of the length of 10 = 9 - (-1)  units.


Other leg  BC is vertical  x = 9  of the length of  3 = 4 - 1  units.
</pre>

You do the rest.



--------------



<U>Comment from student</U>: No. This question involves the distance formula. Nevermind.




<U>My response</U> :  Hello, in my post I showed you that two sides are perpendicular (one horizontal and other vertical)


and showed how to quickly and easily derermine their lengths MENTALLY without using long formulas.



Instead of saying &nbsp;"THANKS" &nbsp;to me for opening your eyes on the subject, &nbsp;you start teach me.



If you will not absorb my teaching, &nbsp;this part of your brain which should understand this simple way of solving
the problem &nbsp;WILL &nbsp;BE &nbsp;EMPTY.



Also, &nbsp;if you know the way of using the distance formula, &nbsp;why did not you complete the assignment on your own ?



At this forum, &nbsp;I am an expert, &nbsp;not you.  

If you do not learn right methods from me, &nbsp;then &nbsp;FOR &nbsp;WHAT &nbsp;REASON &nbsp;DO &nbsp;YOU &nbsp;COME &nbsp;here, &nbsp;to the forum ?



With the only goal to teach me ?  - - - I did not ask you about it.

Plus, &nbsp;I &nbsp;do not think that you can teach me something in &nbsp;Math . . . 




Also, &nbsp;I do not understand the logic in your last word &nbsp;"Nevermind". 


Is it a message to me to ignore your comment ?


Really, &nbsp;it is worth it . . . 



//////////////



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;MEMORIZE &nbsp;it: &nbsp;a person who in this simple problem uses the distance formula 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;to calculate the lengths of these legs, &nbsp;deserves a deep regret . . .