SOLUTION: 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 ap

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.
RELATED QUESTIONS
Determine whether ∆QRS is a right triangle for the given vertices. Explain.... (answered by ikleyn)

Determine whether triangle PQR is congruent to triangle STU given the coordinates of the... (answered by ikleyn)

Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4).... (answered by josgarithmetic)

In triangle QRS, the measure of angle Q = X, the measure of angle R = (8X-40), and the... (answered by ewatrrr)

Triangle QRS has vertices Q(-4,-1)R(-1,3)S(5,-3). Write the equation of the line... (answered by KMST)

Determine weather triangle QRS is a right triangle for the given vertices. Explain... (answered by MathLover1,Boreal)

triangle QRS has vertices at Q(2,6),R(-3,1), and S(6,2). determine the perimeter of the... (answered by josgarithmetic,fcabanski)

rotate Triangle QRS with vertices Q( -9, -4) R (-3,-2) and S (0,0) 90 degrees in the... (answered by Fombitz)

Prove that the triangle with vertices(13,-1),(-9,3),(-3,-9) is a right... (answered by Fombitz)