SOLUTION: 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.

Algebra ->  Triangles -> SOLUTION: 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.      Log On


   



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.

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~~

.
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.

You do the rest.


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Comment from student: No. This question involves the distance formula. Nevermind.



My response : 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  "THANKS"  to me for opening your eyes on the subject,  you start teach me.


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


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


At this forum,  I am an expert,  not you.
If you do not learn right methods from me,  then  FOR  WHAT  REASON  DO  YOU  COME  here,  to the forum ?


With the only goal to teach me ? - - - I did not ask you about it.
Plus,  I  do not think that you can teach me something in  Math . . .



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

Is it a message to me to ignore your comment ?

Really,  it is worth it . . .


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        MEMORIZE  it:  a person who in this simple problem uses the distance formula
        to calculate the lengths of these legs,  deserves a deep regret . . .