Question 816364: Determine whether triangle QRS is a right triangle for the given vertices. Explain.
Q(–13, –1), R(–15, –1), S(4, 9)
please help as soon as possible ! It would be greatly appreciated, thank you.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! 
QR is part of the horizontal line  .
If QS were a vertical line, the x-coordinate of S would be  ,
just like for Q.
If RS were vertical, the x-coordinate for S would be : .
Neither QS nor RS are vertical lines,
so there is no right angle at Q or at R.
Is there a right angle at S?
Without calculating, we see that the length of QR is 2 units,
while QS and RS are much longer,
So the angle at S is the smallest angle, and cannot be a right angle.
NOTES:
Maybe that was not the way your teacher expects you to get to the answer,
but it is the shortest way to the answer.
Maybe there is a typo,
and I just gave you the right answer to the wrong problem.
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