SOLUTION: decide whether the points are vertices of a right triangle..(1,2), (3,0), (3,3)

Algebra.Com
Question 1035147: decide whether the points are vertices of a right triangle..(1,2), (3,0), (3,3)
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
To do this you need to find the slopes of the lines connecting these points.
Call the points #1, #2, and #3.
The slope of #1 & #2 is (0-2)/(3-1) = -1
The slope of #2 & #3 is (3-0)/(3-3) = infinity ==> vertical line
The slope of #3 & #1 is (2-3)/(1-3) = 1/2
None of these slopes is the negative reciprocal of another.
Therefore this is not a right triangle.

RELATED QUESTIONS

Decide whether or not the points are the vertices of a right triangle. (-9,-3),... (answered by jim_thompson5910)
Decide whether the points are the vertices of a right triangle. (2,0), (-1,-1),... (answered by robertb)
decide whether the points are the vertices of a right triangle. (0,0), (0,3),... (answered by Amrata1,MathTherapy)
decide whether the points are vertices of a right triangle. (1,2), (3,0),... (answered by rfer)
decide whether the points are vertices of a right triangle. (0,0), (0,3),... (answered by rfer)
Decide whether or not the points are the vertices of a right triangle.... (answered by Edwin McCravy)
Decide whether or not the points are the vertices of a right triangle. (8,-4), (10,0),... (answered by rfer)
show in a new way that the points (-1 -2), (5 4), (-3 0) are the vertices of a right... (answered by ewatrrr)
show in a new way that the points (-1 -2), (5 4), (-3 0) are the vertices of a right... (answered by ikleyn,blaser411,robertb)